Question

Calcule: $a) \sqrt{\frac{25}{4} b) \sqrt{ \frac{9 * 16}{81}$

Answer 1

$\sqrt{\frac{25}{4}}=\frac{\sqrt{25}}{\sqrt4}=\frac52=2.5$

$\sqrt{\frac{9\times16}{81}}=\frac{\sqrt{9\cdot16}}{\sqrt{81}}=\frac{\sqrt9\times\sqrt{16}}{\sqrt{81}}=\frac{3\times4}{9}=\frac{4}{3}$