Descomposición de una fracción
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sqrt(-5250*w^5/(28561 + 10000*w^4 + 33800*w^2) + 225*w^6/(28561 + 10000*w^4 + 33800*w^2) + 53125*w^4/(28561 + 10000*w^4 + 33800*w^2))
$$\sqrt{\frac{225 w^{6}}{10000 w^{4} + 33800 w^{2} + 28561} - \frac{5250 w^{5}}{10000 w^{4} + 33800 w^{2} + 28561} + \frac{53125 w^{4}}{10000 w^{4} + 33800 w^{2} + 28561}}$$
___________________________________________________________________________________________
/ 5 6 4
/ 5250*w 225*w 53125*w
/ - --------------------------- + --------------------------- + ---------------------------
/ 4 2 4 2 4 2
\/ 28561 + 10000*w + 33800*w 28561 + 10000*w + 33800*w 28561 + 10000*w + 33800*w
Simplificación general
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_________________________
/ 4 / 2\
/ w *\900 + (-35 + 3*w) /
5* / -----------------------
/ 2
/ / 2\
\/ \169 + 100*w /
$$5 \sqrt{\frac{w^{4} \left(\left(3 w - 35\right)^{2} + 900\right)}{\left(100 w^{2} + 169\right)^{2}}}$$
5*sqrt(w^4*(900 + (-35 + 3*w)^2)/(169 + 100*w^2)^2)
1.03550295857988*((w^2 - 0.0857142857142857*w^3)^2/(-1 - 0.591715976331361*w^2)^2 + 0.73469387755102*w^4/(-1 - 0.591715976331361*w^2)^2)^0.5
1.03550295857988*((w^2 - 0.0857142857142857*w^3)^2/(-1 - 0.591715976331361*w^2)^2 + 0.73469387755102*w^4/(-1 - 0.591715976331361*w^2)^2)^0.5
Compilar la expresión
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/ 2
/ / 3 2\ 4
/ \- 15*w + 175*w / 22500*w
/ ------------------- + ----------------
/ 2 2
/ / 2\ / 2\
\/ \-169 - 100*w / \-169 - 100*w /
$$\sqrt{\frac{22500 w^{4}}{\left(- 100 w^{2} - 169\right)^{2}} + \frac{\left(- 15 w^{3} + 175 w^{2}\right)^{2}}{\left(- 100 w^{2} - 169\right)^{2}}}$$
sqrt((-15*w^3 + 175*w^2)^2/(-169 - 100*w^2)^2 + 22500*w^4/(-169 - 100*w^2)^2)
Parte trigonométrica
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________________________________________
/ 2
/ / 3 2\ 4
/ \- 15*w + 175*w / 22500*w
/ ------------------- + ----------------
/ 2 2
/ / 2\ / 2\
\/ \-169 - 100*w / \-169 - 100*w /
$$\sqrt{\frac{22500 w^{4}}{\left(- 100 w^{2} - 169\right)^{2}} + \frac{\left(- 15 w^{3} + 175 w^{2}\right)^{2}}{\left(- 100 w^{2} - 169\right)^{2}}}$$
sqrt((-15*w^3 + 175*w^2)^2/(-169 - 100*w^2)^2 + 22500*w^4/(-169 - 100*w^2)^2)
Abrimos la expresión
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/ 2
/ / 2 3\ 4
/ \175*w - 15*w / 22500*w
/ ----------------- + -----------------
/ 2 2
/ / 2 \ / 2 \
\/ \- 100*w - 169/ \- 100*w - 169/
$$\sqrt{\frac{22500 w^{4}}{\left(- 100 w^{2} - 169\right)^{2}} + \frac{\left(- 15 w^{3} + 175 w^{2}\right)^{2}}{\left(- 100 w^{2} - 169\right)^{2}}}$$
sqrt((175*w^2 - 15*w^3)^2/(-100*w^2 - 169)^2 + (22500*w^4)/(-100*w^2 - 169)^2)
___________________________________________________________________________________________
/ 5 6 4
/ 210*w 9*w 2125*w
5* / - --------------------------- + --------------------------- + ---------------------------
/ 4 2 4 2 4 2
\/ 28561 + 10000*w + 33800*w 28561 + 10000*w + 33800*w 28561 + 10000*w + 33800*w
$$5 \sqrt{\frac{9 w^{6}}{10000 w^{4} + 33800 w^{2} + 28561} - \frac{210 w^{5}}{10000 w^{4} + 33800 w^{2} + 28561} + \frac{2125 w^{4}}{10000 w^{4} + 33800 w^{2} + 28561}}$$
5*sqrt(-210*w^5/(28561 + 10000*w^4 + 33800*w^2) + 9*w^6/(28561 + 10000*w^4 + 33800*w^2) + 2125*w^4/(28561 + 10000*w^4 + 33800*w^2))
Unión de expresiones racionales
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/ 4 / 2\
/ w *\900 + (35 - 3*w) /
5* / ----------------------
/ 2
/ / 2\
\/ \-169 - 100*w /
$$5 \sqrt{\frac{w^{4} \left(\left(35 - 3 w\right)^{2} + 900\right)}{\left(- 100 w^{2} - 169\right)^{2}}}$$
5*sqrt(w^4*(900 + (35 - 3*w)^2)/(-169 - 100*w^2)^2)
________________________________________
/ 2
/ / 3 2\ 4
/ \- 15*w + 175*w / 22500*w
/ ------------------- + ----------------
/ 2 2
/ / 2\ / 2\
\/ \-169 - 100*w / \-169 - 100*w /
$$\sqrt{\frac{22500 w^{4}}{\left(- 100 w^{2} - 169\right)^{2}} + \frac{\left(- 15 w^{3} + 175 w^{2}\right)^{2}}{\left(- 100 w^{2} - 169\right)^{2}}}$$
sqrt((-15*w^3 + 175*w^2)^2/(-169 - 100*w^2)^2 + 22500*w^4/(-169 - 100*w^2)^2)
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/ 4 / 2\
/ w *\2125 - 210*w + 9*w /
5* / ---------------------------
/ 4 2
\/ 28561 + 10000*w + 33800*w
$$5 \sqrt{\frac{w^{4} \left(9 w^{2} - 210 w + 2125\right)}{10000 w^{4} + 33800 w^{2} + 28561}}$$
5*sqrt(w^4*(2125 - 210*w + 9*w^2)/(28561 + 10000*w^4 + 33800*w^2))
Denominador racional
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/ 2
/ / 2 3\ 4
/ \- 35*w + 3*w / + 900*w
5* / --------------------------
/ 2
/ / 2\
\/ \169 + 100*w /
$$5 \sqrt{\frac{900 w^{4} + \left(3 w^{3} - 35 w^{2}\right)^{2}}{\left(100 w^{2} + 169\right)^{2}}}$$
5*sqrt(((-35*w^2 + 3*w^3)^2 + 900*w^4)/(169 + 100*w^2)^2)