Question

Помогите!! Не могу решить

Answer 1

$1); ; left (sqrt{74frac{2}{3}}-sqrt{4frac{2}{3}}right ):sqrt{frac{14}{27}}=left (sqrtfrac{224}{3}}-sqrt{frac{14}{3}}right ):sqrt{frac{14}{27}}=\\=frac{sqrt{16cdot 14}-sqrt{14}}{sqrt3}:sqrt{frac{14}{27}}=frac{sqrt{14}(sqrt{16}-1)}{sqrt3}cdot sqrt{frac{27}{14}}=\\=frac{sqrt{14}(4-1)}{sqrt3}cdot frac{sqrt{27}}{sqrt{14}}=frac{3cdot 3sqrt3}{sqrt3}=9$

$2); ; frac{12}{13}sqrt{6frac{1}{2}}:sqrt{1frac{5}{13}}= frac{12}{13} sqrt{frac{13}{2}}:sqrt{frac{18}{13}}=frac{12cdot sqrt{13}cdot sqrt{13}}{13cdot sqrt2cdot sqrt{9cdot 2}}=\\=frac{12}{sqrt2cdot 3sqrt2}=frac{6}{3}=2$