Алгебра 8 класс учебник Макарычев, Миндюк ответы – номер 430

а) $$ \sqrt{\frac{3}{5}} $$ = 0,2$$\sqrt{15}$$
0,2$$\sqrt{15}$$ = $$\sqrt{0,2² ⋅ 15}$$ = $$\sqrt{0,04 ⋅ 15}$$ = $$\sqrt{0,6}$$ = $$ \sqrt{\frac{6}{10}}=\sqrt{\frac{6 \div 2}{10 \div 2}}=\sqrt{\frac{3}{5}} $$
$$ \sqrt{\frac{3}{5}}=\sqrt{\frac{3}{5}} $$
б) $$ \sqrt{\frac{2}{a}} $$ = 1/a$$\sqrt{2a}$$
1/a$$\sqrt{2a}$$ = $$ \sqrt{\left(\frac{1}{a}\right)^2} \square \sqrt{2 a}=\sqrt{\left(\frac{1}{a}\right)^2[2 a}=\sqrt{\frac{1}{a^2} 2 a}=\sqrt{\frac{12 a \div a}{a^2 \div a}}=\sqrt{\frac{2}{a}} $$
$$ \sqrt{\frac{2}{a}}=\sqrt{\frac{2}{a}} $$