# How do you simplify: Square root 18?

Jul 21, 2015

=color(blue)(3sqrt2

#### Explanation:

• Prime factorise the number( express 18 as a product of prime numbers ):

$\sqrt{18} = \sqrt{3 \cdot 3 \cdot 2}$

$= \sqrt{{3}^{2} \cdot 2}$

$= 3 \sqrt{2}$