Simplificación general
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/ 2 \
___ | / ___\ |
\/ m *\16 + \-4 + \/ m / - m/
------------------------------
2
/ ___\
(-16 + m)*\-4 + \/ m /
$$\frac{\sqrt{m} \left(- m + \left(\sqrt{m} - 4\right)^{2} + 16\right)}{\left(\sqrt{m} - 4\right)^{2} \left(m - 16\right)}$$
sqrt(m)*(16 + (-4 + sqrt(m))^2 - m)/((-16 + m)*(-4 + sqrt(m))^2)
Sustitución de una condición
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sqrt(m)/(m - 16) - sqrt(m)/(4 - sqrt(m))^2 con m = 1/3
sqrt(m)/(m - 16) - sqrt(m)/(4 - sqrt(m))^2
$$\frac{\sqrt{m}}{m - 16} - \frac{\sqrt{m}}{\left(4 - \sqrt{m}\right)^{2}}$$
sqrt((1/3))/((1/3) - 16) - sqrt((1/3))/(4 - sqrt((1/3)))^2
$$\frac{\sqrt{(1/3)}}{(1/3) - 16} - \frac{\sqrt{(1/3)}}{\left(4 - \sqrt{(1/3)}\right)^{2}}$$
sqrt(1/3)/(1/3 - 16) - sqrt(1/3)/(4 - sqrt(1/3))^2
$$- \frac{1}{\sqrt{3} \left(4 - \sqrt{\frac{1}{3}}\right)^{2}} + \frac{1}{\sqrt{3} \left(-16 + \frac{1}{3}\right)}$$
-sqrt(3)/47 - sqrt(3)/(3*(4 - sqrt(3)/3)^2)
$$- \frac{\sqrt{3}}{3 \left(4 - \frac{\sqrt{3}}{3}\right)^{2}} - \frac{\sqrt{3}}{47}$$
___ ___
\/ 3 \/ 3
- ----- - --------------
47 2
/ ___\
| \/ 3 |
3*|4 - -----|
\ 3 /
Denominador racional
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2 2 2 2
3/2 / ___\ ___ / ___\ ___ / ___\ / ___\
- m *\4 + \/ m / + 16*\/ m *\4 + \/ m / + \/ m *\-4 + \/ m / *\4 + \/ m /
------------------------------------------------------------------------------
3
(-16 + m)
$$\frac{- m^{\frac{3}{2}} \left(\sqrt{m} + 4\right)^{2} + \sqrt{m} \left(\sqrt{m} - 4\right)^{2} \left(\sqrt{m} + 4\right)^{2} + 16 \sqrt{m} \left(\sqrt{m} + 4\right)^{2}}{\left(m - 16\right)^{3}}$$
(-m^(3/2)*(4 + sqrt(m))^2 + 16*sqrt(m)*(4 + sqrt(m))^2 + sqrt(m)*(-4 + sqrt(m))^2*(4 + sqrt(m))^2)/(-16 + m)^3
Unión de expresiones racionales
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/ 2 \
___ | / ___\ |
\/ m *\16 + \4 - \/ m / - m/
-----------------------------
2
/ ___\
(-16 + m)*\4 - \/ m /
$$\frac{\sqrt{m} \left(- m + \left(4 - \sqrt{m}\right)^{2} + 16\right)}{\left(4 - \sqrt{m}\right)^{2} \left(m - 16\right)}$$
sqrt(m)*(16 + (4 - sqrt(m))^2 - m)/((-16 + m)*(4 - sqrt(m))^2)
/ ___ \
-\- 32*\/ m + 8*m/
------------------------------
2 3/2 ___
-256 + m - 8*m + 128*\/ m
$$- \frac{- 32 \sqrt{m} + 8 m}{- 8 m^{\frac{3}{2}} + 128 \sqrt{m} + m^{2} - 256}$$
-(-32*sqrt(m) + 8*m)/(-256 + m^2 - 8*m^(3/2) + 128*sqrt(m))