Question

Write the following surd in the simplest form $\frac{5}{9}\sqrt{45}$.

Answer 1

$\frac{5}{9}\sqrt{4}5=\frac{5}{9}\times \sqrt{3\times 3\times 5}=\frac{5\times 3}{9}\sqrt{5}=\frac{5\sqrt{5}}{3}$