Question

ДАЮ 100Б..............​

Answer 1

Ответ:

$3b$

Объяснение:

$\left(\frac{a}{a^{\frac{1}{2}}b^{\frac{1}{2}}+b}-\frac{b^{0,5}}{a^{0,5}+b^{0,5}}\right)\cdot\frac{3b^{1,5}}{\sqrt a-\sqrt b}=$

$\left(\frac{a}{b^{\frac{1}{2}}(a^{\frac{1}{2}}+b^{\frac{1}{2}}}-\frac{b^{0,5}}{a^{0,5}+b^{0,5}}\right)\cdot\frac{3b^{1,5}}{\sqrt a-\sqrt b}=$

$\left(\frac{a}{b^{\frac{1}{2}}(a^{\frac{1}{2}}+b^{\frac{1}{2}}}-\frac{b^{0,5}\cdot b^{\frac{1}{2}}}{b^{\frac{1}{2}}(a^{0,5}+b^{0,5})}\right)\cdot\frac{3b^{1,5}}{\sqrt a-\sqrt b}=$

$\frac{a-b}{b^{\frac{1}{2}}(a^{0,5}+b^{0,5})}\cdot\frac{3b^{1,5}}{\sqrt a-\sqrt b}=$

$\frac{(\sqrt a-\sqrt b)(\sqrt a+\sqrt b)}{a^{0,5}+b^{0,5}}\cdot\frac{3b}{\sqrt a-\sqrt b}=3b$