# How do you simplify 4/sqrt5?

Jan 9, 2017

$\frac{4}{5} \sqrt{5}$

#### Explanation:

We require to $\textcolor{b l u e}{\text{rationalise the denominator}}$

To do this, multiply the numerator and denominator by $\sqrt{5}$

$\text{Since " sqrt5xxsqrt5=5" a rational number}$

$\Rightarrow \frac{4}{\sqrt{5}} = \frac{4}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} = \frac{4 \sqrt{5}}{5} = \frac{4}{5} \sqrt{5}$