Question

помогите решить, пожалуйста!!!!! ​

Answer 1

$\displaystyle \frac{a-b}{a+b+2\sqrt{ab} } :\frac{\sqrt{a} -\sqrt{b} }{\sqrt{a}+\sqrt{b} } =\frac{(\sqrt{a} )^2-(\sqrt{b})^2 }{(\sqrt{a})^2 +2\sqrt{ab}+(\sqrt{b})^2 } \cdot \frac{\sqrt{a}+\sqrt{b}}{\sqrt{a} -\sqrt{b} } =\\=\frac{(\sqrt{a}-\sqrt{b} )(\sqrt{a} +\sqrt{b} )}{(\sqrt{a}+\sqrt{b})^2 } \cdot \frac{\sqrt{a}+\sqrt{b}}{\sqrt{a} -\sqrt{b} }=\frac{(\sqrt{a}-\sqrt{b} )(\sqrt{a} +\sqrt{b} )(\sqrt{a} +\sqrt{b} )}{(\sqrt{a}-\sqrt{b} )(\sqrt{a} +\sqrt{b} )(\sqrt{a} +\sqrt{b} )} =1$