# What is the square root of 1.8?

Mar 30, 2018

$\frac{3 \cdot \sqrt{5}}{5}$

#### Explanation:

1) Put it in fractions
$1.8 = \frac{9}{5}$

2) Square root the fraction
$\sqrt{\frac{9}{5}}$

3) Take out the perfect square
$\frac{3}{\sqrt{5}}$

4) Rationalise
$\frac{3}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = \frac{3 \cdot \sqrt{5}}{5}$