Подстановка условия
[src]
3*sqrt(a^6*b^2)*sqrt(b)/(a^3*3) при a = 1/3
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1 / 6 2 1 ___
--*3*\/ a *b *-*\/ b
3 3
a
$$\frac{1}{a^{3}} \cdot 3 \sqrt{a^{6} b^{2}} \cdot \frac{1}{3} \sqrt{b}$$
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___ / 6 2
\/ b *\/ a *b
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3
a
$$\frac{\sqrt{b} \sqrt{a^{6} b^{2}}}{a^{3}}$$
$$a = \frac{1}{3}$$
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___ / 6 2
\/ b *\/ (1/3) *b
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3
(1/3)
$$\frac{\sqrt{b} \sqrt{(1/3)^{6} b^{2}}}{(1/3)^{3}}$$
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___ / 1 2
\/ b * / --*b
/ 6
\/ 3
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/1 \
|--|
| 3|
\3 /
$$\frac{1}{(\frac{1}{3})^{3}} \sqrt{b} \sqrt{\frac{b^{2}}{729}}$$
$$\sqrt{b} \sqrt{b^{2}}$$
$$b^{\frac{3}{2}}$$
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/ 6 3
\/ a *b
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3
a
$$\frac{\sqrt{a^{6} b^{3}}}{a^{3}}$$
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___ / 6 2
\/ b *\/ a *b
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3
a
$$\frac{\sqrt{b} \sqrt{a^{6} b^{2}}}{a^{3}}$$
sqrt(b)*sqrt(a^6*b^2)/a^3
Объединение рациональных выражений
[src]
_______
___ / 6 2
\/ b *\/ a *b
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3
a
$$\frac{\sqrt{b} \sqrt{a^{6} b^{2}}}{a^{3}}$$
sqrt(b)*sqrt(a^6*b^2)/a^3