___ ___ ____
6*\/ 5 \/ 2 4*\/ 10
1 - ------- - ----- + --------
5 2 5
$$- \frac{6 \sqrt{5}}{5} - \frac{\sqrt{2}}{2} + 1 + \frac{4 \sqrt{10}}{5}$$
1 - 6*sqrt(5)/5 - sqrt(2)/2 + 4*sqrt(10)/5
____ ___
1 -5 - 4*\/ 10 + 4*\/ 5
- + -----------------------
2 ___
10 + 10*\/ 2
$$\frac{- 4 \sqrt{10} - 5 + 4 \sqrt{5}}{10 + 10 \sqrt{2}} + \frac{1}{2}$$
1/2 + (-5 - 4*sqrt(10) + 4*sqrt(5))/(10 + 10*sqrt(2))
___ ___
\/ 2 -6 + 4*\/ 2
--------- + ------------
___ _______
\/ 8 + 2 \/ 8 - 3
$$\frac{-6 + 4 \sqrt{2}}{\sqrt{\left(-1\right) 3 + 8}} + \frac{\sqrt{2}}{2 + \sqrt{8}}$$
___ ___ / ___\
\/ 2 \/ 5 *\6 - 4*\/ 2 /
----------- - -------------------
___ 5
2 + 2*\/ 2
$$- \frac{\sqrt{5} \cdot \left(- 4 \sqrt{2} + 6\right)}{5} + \frac{\sqrt{2}}{2 + 2 \sqrt{2}}$$
___ / ___\
\/ 2 ___ | 6 4*\/ 2 |
----------- + \/ 5 *|- - + -------|
___ \ 5 5 /
2 + 2*\/ 2
$$\sqrt{5} \left(- \frac{6}{5} + \frac{4 \sqrt{2}}{5}\right) + \frac{\sqrt{2}}{2 + 2 \sqrt{2}}$$
sqrt(2)/(2 + 2*sqrt(2)) + sqrt(5)*(-6/5 + 4*sqrt(2)/5)
Объединение рациональных выражений
[src]
___ ___ / ___\ / ___\
5*\/ 2 - 4*\/ 5 *\1 + \/ 2 /*\3 - 2*\/ 2 /
-------------------------------------------
/ ___\
10*\1 + \/ 2 /
$$\frac{- 4 \sqrt{5} \cdot \left(1 + \sqrt{2}\right) \left(- 2 \sqrt{2} + 3\right) + 5 \sqrt{2}}{10 \cdot \left(1 + \sqrt{2}\right)}$$
(5*sqrt(2) - 4*sqrt(5)*(1 + sqrt(2))*(3 - 2*sqrt(2)))/(10*(1 + sqrt(2)))
/ ___ ___ ____\
-\- 5*\/ 2 - 4*\/ 5 + 4*\/ 10 /
----------------------------------
/ ___\
10*\1 + \/ 2 /
$$- \frac{- 4 \sqrt{5} - 5 \sqrt{2} + 4 \sqrt{10}}{10 \cdot \left(1 + \sqrt{2}\right)}$$
-(-5*sqrt(2) - 4*sqrt(5) + 4*sqrt(10))/(10*(1 + sqrt(2)))