Question

Tick (✓) the correct answer
$\frac{\sqrt{288}}{\sqrt{128}}=?$
(a) $\frac{\sqrt{3}}{2}$
(b) $\frac{3}{\sqrt{2}}$
(c) $\frac{3}{2}$
(d) 1.49

Answer 1

(c) $\frac{3}{2}$

$\frac{\sqrt{288}}{\sqrt{128}}=\sqrt{\frac{288}{128}}=\sqrt{\frac{2\times 2\times 2\times 2\times 2\times 3\times 3}{2\times 2\times 2\times 2\times 2\times 2\times 2}}=\sqrt{\frac{3\times 3}{2\times 2}}=\frac{\sqrt{3\times 3}}{\sqrt{2\times 2}}=\frac{3}{2}$