Question

Write the following surds in simplest form.

(i) $\frac{3}{4}\sqrt{8}$ (ii) $-\frac{5}{9}\sqrt{45}$

Answer 1

(i) $\frac{3}{4}\sqrt{8}=\frac{3}{4}\times \sqrt{4\times 2}=\frac{3}{4}\times 2\sqrt{2}=\frac{3}{2}\sqrt{2}$

(ii) $-\frac{5}{9}\sqrt{45}=-\frac{5}{9}\sqrt{9\times 5}=-\frac{5}{9}\times 3\sqrt{5}=-\frac{5}{3}\sqrt{5}$