Question

Пожалуйста помогите Алгебра 8 класс​

Answer 1

$\frac{x^{2}-2}{x+\sqrt{2}}=\frac{(x-\sqrt{2})(x+\sqrt{2})}{x+\sqrt{2}}=x-\sqrt{2}$

$\frac{\sqrt{5}-a}{5-a^{2}}=\frac{\sqrt{5}-a}{(\sqrt{5}-a)(\sqrt{5}+a)}=\frac{1}{\sqrt{5}+a}$

$\frac{\sqrt{x}-5}{25-x}=\frac{-(5-\sqrt{x})}{(5-\sqrt{x})(5-\sqrt{x})}=-\frac{1}{5+\sqrt{x}}$

$\frac{\sqrt{2}+2}{\sqrt{2}}=\frac{(\sqrt{2}+2)*\sqrt{2}}{\sqrt{2}*\sqrt{2}}=\frac{2+2\sqrt{2} }{2}=\frac{2(1+\sqrt{2})}{2}=1+\sqrt{2}$

$\frac{5+\sqrt{10}}{\sqrt{10}}=\frac{\sqrt{10}(5+\sqrt{10})}{\sqrt{10}*\sqrt{10}}=\frac{5\sqrt{10}+10}{10}=\frac{5(\sqrt{10}+2)}{10}=\frac{\sqrt{10}+2}{2}$

$\frac{2\sqrt{3}-3}{5\sqrt{3}}}=\frac{\sqrt{3}(2\sqrt{3}-3)}{5\sqrt{3}*\sqrt{3}}=\frac{6-3}{15}=\frac{3}{15}=0,2$