381. 1) $\frac{4\sqrt{72}}{3\sqrt8}$; 2) $\frac{2\sqrt{63}}{\sqrt{28}}$; 3) $\frac{2\sqrt{45}}{\sqrt{80}}$; 4) $\frac{4\sqrt{99}}{9\sqrt{44}}$.

Question

Вопрос: $Фото задания: 381. 1) $\frac{4\sqrt{72}}{3\sqrt8}$; 2) $\frac{2\sqrt{63}}{\sqrt{28}}$; 3) $\frac{2\sqrt{45}}{\sqrt{80}}$; 4)…$ Фото задания

Accepted Answer

$\frac{4\sqrt{72}}{3\sqrt8}=\frac{4\cdot6\sqrt2}{3\cdot2\sqrt2}=4$.
$\frac{2\sqrt{63}}{\sqrt{28}}=\frac{2\cdot3\sqrt7}{2\sqrt7}=3$.
$\frac{2\sqrt{45}}{\sqrt{80}}=\frac{2\cdot3\sqrt5}{4\sqrt5}=\frac32$.
$\frac{4\sqrt{99}}{9\sqrt{44}}=\frac{4\cdot3\sqrt{11}}{9\cdot2\sqrt{11}}=\frac23$.

381. 1) \(\frac{4\sqrt{72}}{3\sqrt8}\); 2) \(\frac{2\sqrt{63}}{\sqrt{28}}\); 3) \(\frac{2\sqrt{45}}{\sqrt{80}}\); 4) \(\frac{4\sqrt{99}}{9\sqrt{44}}\).