# How do you simplify sqrt320 ?

Jun 8, 2016

$= 8 \sqrt{5}$

#### Explanation:

$\sqrt{320}$

We simplify the number by prime factorisation (expressing a number as a product of prime factors).

$\sqrt{320} = \sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5} = \sqrt{8 \cdot 8 \cdot 5}$

=sqrt(8^2 * 5

$= 8 \sqrt{5}$