Question

помогите, даю 50 баллов!)​

Answer 1

$\frac{a}{\sqrt{a}+\sqrt{b}}-\frac{a\sqrt{a}}{a+b+2\sqrt{ab}}=\frac{a}{\sqrt{a}+\sqrt{b}}-\frac{a\sqrt{a}}{(\sqrt{a}+\sqrt{b})^2}=\frac{a(\sqrt{a}+\sqrt{b})-a\sqrt{a}}{(\sqrt{a}+\sqrt{b})^2}=\\\\=\frac{a\cdot (\sqrt{a}+\sqrt{b}-\sqrt{a})}{(\sqrt{a}+\sqrt{b})^2}=\frac{a\sqrt{b}}{(\sqrt{a}+\sqrt{b})^2}$