# How do you simplify sqrt(8)?

Feb 22, 2016

$= 2 \sqrt{2}$

#### Explanation:

We first prime factorise $8$

Prime factorisation involves expressing a number as a product of its prime factors.

$8 = 2 \times 2 \times 2$

So,
sqrt8 = sqrt (2 xx 2 xx 2

=sqrt(2^2 xx2

$= 2 \sqrt{2}$