___ ___
___ 3/2 ___ 2 \/ 2 3*a*\/ 2
2 + \/ 2 + a + 2*\/ a + ----- + ----- - ---------
___ a 2
\/ a
$$a^{\frac{3}{2}} + 2 \sqrt{a} - \frac{3 \sqrt{2} a}{2} + \sqrt{2} + 2 + \frac{\sqrt{2}}{a} + \frac{2}{\sqrt{a}}$$
2 + sqrt(2) + a^(3/2) + 2*sqrt(a) + 2/sqrt(a) + sqrt(2)/a - 3*a*sqrt(2)/2
2.0 + 1.4142135623731/a + a^0.5*(2.0 + a + 2.0/a + 1.41421356237309/a^0.5 - 2.12132034355964*a^0.5)
2.0 + 1.4142135623731/a + a^0.5*(2.0 + a + 2.0/a + 1.41421356237309/a^0.5 - 2.12132034355964*a^0.5)
4 2 3 ___ 3/2 ___
___ a + 2*a + 2*a + \/ 2 *a 3*a*\/ 2
2 + \/ 2 + ----------------------------- - ---------
5/2 2
a
$$- \frac{3 \sqrt{2} a}{2} + \sqrt{2} + 2 + \frac{a^{4} + \sqrt{2} a^{\frac{3}{2}} + 2 a^{3} + 2 a^{2}}{a^{\frac{5}{2}}}$$
2 + sqrt(2) + (a^4 + 2*a^2 + 2*a^3 + sqrt(2)*a^(3/2))/a^(5/2) - 3*a*sqrt(2)/2
Объединение рациональных выражений
[src]
___ 5/2 ___ 3/2 ___ 2 ___
2*\/ 2 + 2*a + 4*a + 4*\/ a + 4*a - 3*\/ 2 *a + 2*a*\/ 2
------------------------------------------------------------------
2*a
$$\frac{2 a^{\frac{5}{2}} + 4 a^{\frac{3}{2}} - 3 \sqrt{2} a^{2} + 4 \sqrt{a} + 2 \sqrt{2} a + 4 a + 2 \sqrt{2}}{2 a}$$
(2*sqrt(2) + 2*a^(5/2) + 4*a + 4*sqrt(a) + 4*a^(3/2) - 3*sqrt(2)*a^2 + 2*a*sqrt(2))/(2*a)
___ / ___ ___ ___\
\/ 2 ___ | 2 \/ 2 3*\/ 2 *\/ a |
2 + ----- + \/ a *|2 + a + - + ----- - -------------|
a | a ___ 2 |
\ \/ a /
$$\sqrt{a} \left(- \frac{3 \sqrt{2} \sqrt{a}}{2} + a + 2 + \frac{2}{a} + \frac{\sqrt{2}}{\sqrt{a}}\right) + 2 + \frac{\sqrt{2}}{a}$$
2 + sqrt(2)/a + sqrt(a)*(2 + a + 2/a + sqrt(2)/sqrt(a) - 3*sqrt(2)*sqrt(a)/2)
Рациональный знаменатель
[src]
___ ___
___ 3/2 ___ 2 \/ 2 3*a*\/ 2
2 + \/ 2 + a + 2*\/ a + ----- + ----- - ---------
___ a 2
\/ a
$$a^{\frac{3}{2}} + 2 \sqrt{a} - \frac{3 \sqrt{2} a}{2} + \sqrt{2} + 2 + \frac{\sqrt{2}}{a} + \frac{2}{\sqrt{a}}$$
____ ____ ____ ____ ____ ____ ____
4 / 5 2 / 5 3 / 5 5/2 / 5 ___ 7/2 / 5 ___ 3/2 / 5 ___ 5/2 / 5
2*a *\/ a + 4*a *\/ a + 4*a *\/ a + 4*a *\/ a - 3*\/ 2 *a *\/ a + 2*\/ 2 *a *\/ a + 2*\/ 2 *a *\/ a
--------------------------------------------------------------------------------------------------------------------------------
5
2*a
$$\frac{- 3 \sqrt{2} a^{\frac{7}{2}} \sqrt{a^{5}} + 2 \sqrt{2} a^{\frac{5}{2}} \sqrt{a^{5}} + 4 a^{\frac{5}{2}} \sqrt{a^{5}} + 2 a^{4} \sqrt{a^{5}} + 2 \sqrt{2} a^{\frac{3}{2}} \sqrt{a^{5}} + 4 a^{3} \sqrt{a^{5}} + 4 a^{2} \sqrt{a^{5}}}{2 a^{5}}$$
(2*a^4*sqrt(a^5) + 4*a^2*sqrt(a^5) + 4*a^3*sqrt(a^5) + 4*a^(5/2)*sqrt(a^5) - 3*sqrt(2)*a^(7/2)*sqrt(a^5) + 2*sqrt(2)*a^(3/2)*sqrt(a^5) + 2*sqrt(2)*a^(5/2)*sqrt(a^5))/(2*a^5)
/ ___ 3/2 ___ 5/2 ___ ___ 2\
-\-4*a - 4*\/ a - 4*a - 2*\/ 2 - 2*a - 2*a*\/ 2 + 3*\/ 2 *a /
-----------------------------------------------------------------------
2*a
$$- \frac{- 2 a^{\frac{5}{2}} - 4 a^{\frac{3}{2}} + 3 \sqrt{2} a^{2} - 4 \sqrt{a} - 4 a - 2 \sqrt{2} a - 2 \sqrt{2}}{2 a}$$
-(-4*a - 4*sqrt(a) - 4*a^(3/2) - 2*sqrt(2) - 2*a^(5/2) - 2*a*sqrt(2) + 3*sqrt(2)*a^2)/(2*a)
___ / ___ ___ ___\
\/ 2 ___ | 2 \/ 2 3*\/ 2 *\/ a |
2 + ----- + \/ a *|2 + a + - + ----- - -------------|
a | a ___ 2 |
\ \/ a /
$$\sqrt{a} \left(- \frac{3 \sqrt{2} \sqrt{a}}{2} + a + 2 + \frac{2}{a} + \frac{\sqrt{2}}{\sqrt{a}}\right) + 2 + \frac{\sqrt{2}}{a}$$
2 + sqrt(2)/a + sqrt(a)*(2 + a + 2/a + sqrt(2)/sqrt(a) - 3*sqrt(2)*sqrt(a)/2)
___ / ___ ___ ___\
\/ 2 ___ | 2 \/ 2 3*\/ 2 *\/ a |
2 + ----- + \/ a *|2 + a + - + ----- - -------------|
a | a ___ 2 |
\ \/ a /
$$\sqrt{a} \left(- \frac{3 \sqrt{2} \sqrt{a}}{2} + a + 2 + \frac{2}{a} + \frac{\sqrt{2}}{\sqrt{a}}\right) + 2 + \frac{\sqrt{2}}{a}$$
2 + sqrt(2)/a + sqrt(a)*(2 + a + 2/a + sqrt(2)/sqrt(a) - 3*sqrt(2)*sqrt(a)/2)