¿Cómo vas a descomponer esta sqrt(sqrt(2)/a+a/sqrt(2)+2)-(a^2*2^(1/4)-2*sqrt(a))/(a*(sqrt(2)*sqrt(a))-2^(3/4)*a^(1/16)) expresión en fracciones?

      93      185      277      369             _____________________             47                 _____________________            139                _____________________            231                _____________________            323           345            299           253                               207           161                                115            69                                23                                                             _____________________                                               _____________________                                                                      _____________________                                                                       _____________________                                                                                    361      _____________________           315      _____________________                        _____________________                                    269      _____________________           223      _____________________                        _____________________                                  177      _____________________           131      _____________________                      _____________________                                      85      _____________________            39      _____________________                         _____________________             61              _____________________            15              _____________________            153              _____________________           107              _____________________            245              _____________________           199              _____________________            337              _____________________           291              _____________________                               _____________________                               _____________________                              _____________________                               _____________________
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      16       16       16       16           /      \/ 2    a*\/ 2          ___  16       27/4    /      \/ 2    a*\/ 2         ___   16      25/2    /      \/ 2    a*\/ 2         ___   16      73/4    /      \/ 2    a*\/ 2         ___   16      3/4   16     4 ___   16      3/4   16      149/8   /  3      4 ___   16      3/4   16      103/8   /  3       4 ___   16       3/4  16       57/8   /  3       4 ___  16       11/8   /  3     3/4  23   /  3         ___  31/8    /      \/ 2    a*\/ 2        4 ___  23/8   /  3        ___  77/8    /      \/ 2    a*\/ 2       4 ___  69/8   /  3       3/4  23/4   /  3        ___  123/8    /      \/ 2    a*\/ 2       4 ___  115/8   /  3       3/4  23/2   /  3        ___  169/8    /      \/ 2    a*\/ 2       4 ___  161/8   /  3       3/4  69/4   /  3        ___  43/2   /  3      4 ___   16    /      \/ 2    a*\/ 2        3/4   16    /      \/ 2    a*\/ 2        45/2   /  3     /      \/ 2    a*\/ 2         ___  63/4   /  3      4 ___   16    /      \/ 2    a*\/ 2        3/4   16    /      \/ 2    a*\/ 2        67/4   /  3     /      \/ 2    a*\/ 2         ___  10   /  3      4 ___   16    /      \/ 2    a*\/ 2        3/4   16    /      \/ 2    a*\/ 2        11   /  3     /      \/ 2    a*\/ 2          ___  17/4   /  3       4 ___  16    /      \/ 2    a*\/ 2         3/4  16    /      \/ 2    a*\/ 2         21/4   /  3     /      \/ 2    a*\/ 2        4 ___  16   /  3     /      \/ 2    a*\/ 2         3/4  16   /  3     /      \/ 2    a*\/ 2       4 ___   16   /  3     /      \/ 2    a*\/ 2        3/4   16   /  3     /      \/ 2    a*\/ 2       4 ___   16   /  3     /      \/ 2    a*\/ 2        3/4   16   /  3     /      \/ 2    a*\/ 2       4 ___   16   /  3     /      \/ 2    a*\/ 2        3/4   16   /  3     /      \/ 2    a*\/ 2         ___  157/8   /  3     /      \/ 2    a*\/ 2         ___  111/8   /  3     /      \/ 2    a*\/ 2         ___  65/8   /  3     /      \/ 2    a*\/ 2          ___  19/8   /  3     /      \/ 2    a*\/ 2  
- 16*a   - 8*a    - 4*a    - 2*a    - 32*a*  /   2 + ----- + -------  - 16*\/ 2 *a   - 16*a    *  /   2 + ----- + -------  - 8*\/ 2 *a    - 8*a    *  /   2 + ----- + -------  - 4*\/ 2 *a    - 4*a    *  /   2 + ----- + -------  - 2*\/ 2 *a    + 2*2   *a    + 4*\/ 2 *a    + 4*2   *a    + 4*a     *\/  a   + 8*\/ 2 *a    + 8*2   *a    + 8*a     *\/  a   + 16*\/ 2 *a    + 16*2   *a   + 16*a    *\/  a   + 32*\/ 2 *a   + 32*a    *\/  a   - 2   *a  *\/  a   - 16*\/ 2 *a    *  /   2 + ----- + -------  - 16*\/ 2 *a    *\/  a   - 8*\/ 2 *a    *  /   2 + ----- + -------  - 8*\/ 2 *a    *\/  a   - 8*2   *a    *\/  a   - 4*\/ 2 *a     *  /   2 + ----- + -------  - 4*\/ 2 *a     *\/  a   - 4*2   *a    *\/  a   - 2*\/ 2 *a     *  /   2 + ----- + -------  - 2*\/ 2 *a     *\/  a   - 2*2   *a    *\/  a   + 2*\/ 2 *a    *\/  a   + 2*\/ 2 *a   *  /   2 + ----- + -------  + 2*2   *a   *  /   2 + ----- + -------  + 2*a    *\/  a  *  /   2 + ----- + -------  + 4*\/ 2 *a    *\/  a   + 4*\/ 2 *a   *  /   2 + ----- + -------  + 4*2   *a   *  /   2 + ----- + -------  + 4*a    *\/  a  *  /   2 + ----- + -------  + 8*\/ 2 *a  *\/  a   + 8*\/ 2 *a   *  /   2 + ----- + -------  + 8*2   *a   *  /   2 + ----- + -------  + 8*a  *\/  a  *  /   2 + ----- + -------  + 16*\/ 2 *a    *\/  a   + 16*\/ 2 *a  *  /   2 + ----- + -------  + 16*2   *a  *  /   2 + ----- + -------  + 16*a    *\/  a  *  /   2 + ----- + -------  - 16*\/ 2 *a  *\/  a  *  /   2 + ----- + -------  - 16*2   *a  *\/  a  *  /   2 + ----- + -------  - 8*\/ 2 *a   *\/  a  *  /   2 + ----- + -------  - 8*2   *a   *\/  a  *  /   2 + ----- + -------  - 4*\/ 2 *a   *\/  a  *  /   2 + ----- + -------  - 4*2   *a   *\/  a  *  /   2 + ----- + -------  - 2*\/ 2 *a   *\/  a  *  /   2 + ----- + -------  - 2*2   *a   *\/  a  *  /   2 + ----- + -------  + 2*\/ 2 *a     *\/  a  *  /   2 + ----- + -------  + 4*\/ 2 *a     *\/  a  *  /   2 + ----- + -------  + 8*\/ 2 *a    *\/  a  *  /   2 + ----- + -------  + 16*\/ 2 *a    *\/  a  *  /   2 + ----- + ------- 
                                           \/          a        2                               \/          a        2                              \/          a        2                              \/          a        2                                                                                                                                                                                                                                                         \/          a        2                                              \/          a        2                                                                     \/          a        2                                                                      \/          a        2                                                                                            \/          a        2                   \/          a        2                       \/          a        2                                            \/          a        2                   \/          a        2                       \/          a        2                                          \/          a        2                   \/          a        2                     \/          a        2                                             \/          a        2                   \/          a        2                        \/          a        2                            \/          a        2                           \/          a        2                            \/          a        2                           \/          a        2                            \/          a        2                           \/          a        2                            \/          a        2                           \/          a        2                              \/          a        2                              \/          a        2                             \/          a        2                              \/          a        2    
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   2*a*\-16 + a  /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   

$$\frac{- 2 a^{\frac{369}{16}} + 2 \sqrt[4]{2} a^{\frac{361}{16}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} + 2 \cdot 2^{\frac{3}{4}} a^{\frac{345}{16}} - 2 \sqrt[4]{2} a^{\frac{337}{16}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} \sqrt{a^{3}} - 2 \sqrt{2} a^{\frac{323}{16}} + 2 \cdot 2^{\frac{3}{4}} a^{\frac{315}{16}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} + 4 \sqrt[4]{2} a^{\frac{299}{16}} - 2 \cdot 2^{\frac{3}{4}} a^{\frac{291}{16}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} \sqrt{a^{3}} - 4 a^{\frac{277}{16}} + 4 \sqrt[4]{2} a^{\frac{269}{16}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} + 4 \cdot 2^{\frac{3}{4}} a^{\frac{253}{16}} - 4 \sqrt[4]{2} a^{\frac{245}{16}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} \sqrt{a^{3}} - 4 \sqrt{2} a^{\frac{231}{16}} + 4 \cdot 2^{\frac{3}{4}} a^{\frac{223}{16}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} + 8 \sqrt[4]{2} a^{\frac{207}{16}} - 4 \cdot 2^{\frac{3}{4}} a^{\frac{199}{16}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} \sqrt{a^{3}} - 8 a^{\frac{185}{16}} + 8 \sqrt[4]{2} a^{\frac{177}{16}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} + 8 \cdot 2^{\frac{3}{4}} a^{\frac{161}{16}} - 8 \sqrt[4]{2} a^{\frac{153}{16}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} \sqrt{a^{3}} - 8 \sqrt{2} a^{\frac{139}{16}} + 8 \cdot 2^{\frac{3}{4}} a^{\frac{131}{16}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} + 16 \sqrt[4]{2} a^{\frac{115}{16}} - 8 \cdot 2^{\frac{3}{4}} a^{\frac{107}{16}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} \sqrt{a^{3}} - 16 a^{\frac{93}{16}} + 16 \sqrt[4]{2} a^{\frac{85}{16}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} + 16 \cdot 2^{\frac{3}{4}} a^{\frac{69}{16}} - 16 \sqrt[4]{2} a^{\frac{61}{16}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} \sqrt{a^{3}} - 16 \sqrt{2} a^{\frac{47}{16}} + 16 \cdot 2^{\frac{3}{4}} a^{\frac{39}{16}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} + 32 \sqrt[4]{2} a^{\frac{23}{16}} - 16 \cdot 2^{\frac{3}{4}} a^{\frac{15}{16}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} \sqrt{a^{3}} - 2 \sqrt{2} a^{\frac{169}{8}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} - 2 \sqrt[4]{2} a^{\frac{161}{8}} \sqrt{a^{3}} + 2 \sqrt{2} a^{\frac{157}{8}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} \sqrt{a^{3}} + 4 a^{\frac{149}{8}} \sqrt{a^{3}} - 4 \sqrt{2} a^{\frac{123}{8}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} - 4 \sqrt[4]{2} a^{\frac{115}{8}} \sqrt{a^{3}} + 4 \sqrt{2} a^{\frac{111}{8}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} \sqrt{a^{3}} + 8 a^{\frac{103}{8}} \sqrt{a^{3}} - 8 \sqrt{2} a^{\frac{77}{8}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} - 8 \sqrt[4]{2} a^{\frac{69}{8}} \sqrt{a^{3}} + 8 \sqrt{2} a^{\frac{65}{8}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} \sqrt{a^{3}} + 16 a^{\frac{57}{8}} \sqrt{a^{3}} - 16 \sqrt{2} a^{\frac{31}{8}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} - 16 \sqrt[4]{2} a^{\frac{23}{8}} \sqrt{a^{3}} + 16 \sqrt{2} a^{\frac{19}{8}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} \sqrt{a^{3}} + 32 a^{\frac{11}{8}} \sqrt{a^{3}} - 4 a^{\frac{73}{4}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} - 2 \cdot 2^{\frac{3}{4}} a^{\frac{69}{4}} \sqrt{a^{3}} + 4 a^{\frac{67}{4}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} \sqrt{a^{3}} + 4 \sqrt{2} a^{\frac{63}{4}} \sqrt{a^{3}} - 16 a^{\frac{27}{4}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} - 8 \cdot 2^{\frac{3}{4}} a^{\frac{23}{4}} \sqrt{a^{3}} + 16 a^{\frac{21}{4}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} \sqrt{a^{3}} + 16 \sqrt{2} a^{\frac{17}{4}} \sqrt{a^{3}} + 2 a^{\frac{45}{2}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} \sqrt{a^{3}} + 2 \sqrt{2} a^{\frac{43}{2}} \sqrt{a^{3}} - 8 a^{\frac{25}{2}} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} - 4 \cdot 2^{\frac{3}{4}} a^{\frac{23}{2}} \sqrt{a^{3}} - 2^{\frac{3}{4}} a^{23} \sqrt{a^{3}} + 8 a^{11} \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}} \sqrt{a^{3}} + 8 \sqrt{2} a^{10} \sqrt{a^{3}} - 32 a \sqrt{\frac{\sqrt{2} a}{2} + 2 + \frac{\sqrt{2}}{a}}}{2 a \left(a^{23} - 16\right)}$$

(-16*a^(93/16) - 8*a^(185/16) - 4*a^(277/16) - 2*a^(369/16) - 32*a*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) - 16*sqrt(2)*a^(47/16) - 16*a^(27/4)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) - 8*sqrt(2)*a^(139/16) - 8*a^(25/2)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) - 4*sqrt(2)*a^(231/16) - 4*a^(73/4)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) - 2*sqrt(2)*a^(323/16) + 2*2^(3/4)*a^(345/16) + 4*2^(1/4)*a^(299/16) + 4*2^(3/4)*a^(253/16) + 4*a^(149/8)*sqrt(a^3) + 8*2^(1/4)*a^(207/16) + 8*2^(3/4)*a^(161/16) + 8*a^(103/8)*sqrt(a^3) + 16*2^(1/4)*a^(115/16) + 16*2^(3/4)*a^(69/16) + 16*a^(57/8)*sqrt(a^3) + 32*2^(1/4)*a^(23/16) + 32*a^(11/8)*sqrt(a^3) - 2^(3/4)*a^23*sqrt(a^3) - 16*sqrt(2)*a^(31/8)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) - 16*2^(1/4)*a^(23/8)*sqrt(a^3) - 8*sqrt(2)*a^(77/8)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) - 8*2^(1/4)*a^(69/8)*sqrt(a^3) - 8*2^(3/4)*a^(23/4)*sqrt(a^3) - 4*sqrt(2)*a^(123/8)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) - 4*2^(1/4)*a^(115/8)*sqrt(a^3) - 4*2^(3/4)*a^(23/2)*sqrt(a^3) - 2*sqrt(2)*a^(169/8)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) - 2*2^(1/4)*a^(161/8)*sqrt(a^3) - 2*2^(3/4)*a^(69/4)*sqrt(a^3) + 2*sqrt(2)*a^(43/2)*sqrt(a^3) + 2*2^(1/4)*a^(361/16)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) + 2*2^(3/4)*a^(315/16)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) + 2*a^(45/2)*sqrt(a^3)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) + 4*sqrt(2)*a^(63/4)*sqrt(a^3) + 4*2^(1/4)*a^(269/16)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) + 4*2^(3/4)*a^(223/16)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) + 4*a^(67/4)*sqrt(a^3)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) + 8*sqrt(2)*a^10*sqrt(a^3) + 8*2^(1/4)*a^(177/16)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) + 8*2^(3/4)*a^(131/16)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) + 8*a^11*sqrt(a^3)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) + 16*sqrt(2)*a^(17/4)*sqrt(a^3) + 16*2^(1/4)*a^(85/16)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) + 16*2^(3/4)*a^(39/16)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) + 16*a^(21/4)*sqrt(a^3)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) - 16*2^(1/4)*a^(61/16)*sqrt(a^3)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) - 16*2^(3/4)*a^(15/16)*sqrt(a^3)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) - 8*2^(1/4)*a^(153/16)*sqrt(a^3)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) - 8*2^(3/4)*a^(107/16)*sqrt(a^3)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) - 4*2^(1/4)*a^(245/16)*sqrt(a^3)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) - 4*2^(3/4)*a^(199/16)*sqrt(a^3)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) - 2*2^(1/4)*a^(337/16)*sqrt(a^3)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) - 2*2^(3/4)*a^(291/16)*sqrt(a^3)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) + 2*sqrt(2)*a^(157/8)*sqrt(a^3)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) + 4*sqrt(2)*a^(111/8)*sqrt(a^3)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) + 8*sqrt(2)*a^(65/8)*sqrt(a^3)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2) + 16*sqrt(2)*a^(19/8)*sqrt(a^3)*sqrt(2 + sqrt(2)/a + a*sqrt(2)/2))/(2*a*(-16 + a^23))