______________
/ ___ ___
3*\/ 10 - 4*\/ 6 \/ 3
-5 - ------------------- + ----------------
2 _____________
/ ___
\/ 5 + 2*\/ 6
$$-5 - \frac{3 \sqrt{- 4 \sqrt{6} + 10}}{2} + \frac{\sqrt{3}}{\sqrt{2 \sqrt{6} + 5}}$$
-5 - 3*sqrt(10 - 4*sqrt(6))/2 + sqrt(3)/sqrt(5 + 2*sqrt(6))
_____________
___ ___ / ___
\/ 3 3*\/ 2 *\/ 5 - 2*\/ 6
-5 + ---------------- - ------------------------
_____________ 2
/ ___
\/ 5 + 2*\/ 6
$$-5 - \frac{3 \sqrt{2} \sqrt{- 2 \sqrt{6} + 5}}{2} + \frac{\sqrt{3}}{\sqrt{2 \sqrt{6} + 5}}$$
-5 + sqrt(3)/sqrt(5 + 2*sqrt(6)) - 3*sqrt(2)*sqrt(5 - 2*sqrt(6))/2
_______________
/ ___ ___
\/ 90 - 36*\/ 6 \/ 3
-5 - ------------------ + ----------------
2 _____________
/ ___
\/ 5 + 2*\/ 6
$$-5 - \frac{\sqrt{- 36 \sqrt{6} + 90}}{2} + \frac{\sqrt{3}}{\sqrt{2 \sqrt{6} + 5}}$$
________________
/ ___ ___
\/ 90 - 6*6*\/ 6 \/ 3
-5 - ------------------- + ----------------
2 _____________
/ ___
\/ 5 + 2*\/ 6
$$-5 - \frac{\sqrt{- 6 \cdot 6 \sqrt{6} + 90}}{2} + \frac{\sqrt{3}}{\sqrt{2 \sqrt{6} + 5}}$$
______________
___ ___ / ___
\/ 3 \/ 6 *\/ 15 - 6*\/ 6
-5 + ---------------- - -----------------------
_____________ 2
/ ___
\/ 5 + 2*\/ 6
$$-5 - \frac{\sqrt{6} \sqrt{- 6 \sqrt{6} + 15}}{2} + \frac{\sqrt{3}}{\sqrt{2 \sqrt{6} + 5}}$$
-5 + sqrt(3)/sqrt(5 + 2*sqrt(6)) - sqrt(6)*sqrt(15 - 6*sqrt(6))/2
/ _____________ _____________ _____________\
| ___ / ___ ___ / ___ / ___ |
-\- 2*\/ 3 + 10*\/ 5 + 2*\/ 6 + 3*\/ 2 *\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 /
-------------------------------------------------------------------------------
_____________
/ ___
2*\/ 5 + 2*\/ 6
$$- \frac{- 2 \sqrt{3} + 3 \sqrt{2} \sqrt{- 2 \sqrt{6} + 5} \sqrt{2 \sqrt{6} + 5} + 10 \sqrt{2 \sqrt{6} + 5}}{2 \sqrt{2 \sqrt{6} + 5}}$$
-(-2*sqrt(3) + 10*sqrt(5 + 2*sqrt(6)) + 3*sqrt(2)*sqrt(5 - 2*sqrt(6))*sqrt(5 + 2*sqrt(6)))/(2*sqrt(5 + 2*sqrt(6)))
Объединение рациональных выражений
[src]
_____________ _____________ _____________
/ ___ ___ ___ / ___ / ___
- 10*\/ 5 + 2*\/ 6 + 2*\/ 3 - 3*\/ 2 *\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6
---------------------------------------------------------------------------
_____________
/ ___
2*\/ 5 + 2*\/ 6
$$\frac{- 10 \sqrt{2 \sqrt{6} + 5} - 3 \sqrt{2} \sqrt{- 2 \sqrt{6} + 5} \sqrt{2 \sqrt{6} + 5} + 2 \sqrt{3}}{2 \sqrt{2 \sqrt{6} + 5}}$$
(-10*sqrt(5 + 2*sqrt(6)) + 2*sqrt(3) - 3*sqrt(2)*sqrt(5 - 2*sqrt(6))*sqrt(5 + 2*sqrt(6)))/(2*sqrt(5 + 2*sqrt(6)))
Рациональный знаменатель
[src]
___ ___ / ___\
\/ 3 \/ 6 *\3 - \/ 6 /
-5 + ------------- - -----------------
___ ___ 2
\/ 2 + \/ 3
$$-5 - \frac{\sqrt{6} \cdot \left(- \sqrt{6} + 3\right)}{2} + \frac{\sqrt{3}}{\sqrt{2} + \sqrt{3}}$$
_____________ _____________ _____________ ______________ _____________ ______________
___ ___ / ___ ___ / ___ ___ / ___ / ___ ___ / ___ / ___
6 - 2*\/ 6 - 10*\/ 3 *\/ 5 + 2*\/ 6 + 10*\/ 2 *\/ 5 + 2*\/ 6 - 3*\/ 2 *\/ 5 + 2*\/ 6 *\/ 15 - 6*\/ 6 + 2*\/ 3 *\/ 5 + 2*\/ 6 *\/ 15 - 6*\/ 6
-------------------------------------------------------------------------------------------------------------------------------------------------------------
2
$$\frac{- 10 \sqrt{3} \sqrt{2 \sqrt{6} + 5} - 3 \sqrt{2} \sqrt{- 6 \sqrt{6} + 15} \sqrt{2 \sqrt{6} + 5} - 2 \sqrt{6} + 6 + 2 \sqrt{3} \sqrt{- 6 \sqrt{6} + 15} \sqrt{2 \sqrt{6} + 5} + 10 \sqrt{2} \sqrt{2 \sqrt{6} + 5}}{2}$$
(6 - 2*sqrt(6) - 10*sqrt(3)*sqrt(5 + 2*sqrt(6)) + 10*sqrt(2)*sqrt(5 + 2*sqrt(6)) - 3*sqrt(2)*sqrt(5 + 2*sqrt(6))*sqrt(15 - 6*sqrt(6)) + 2*sqrt(3)*sqrt(5 + 2*sqrt(6))*sqrt(15 - 6*sqrt(6)))/2