# How do you simplify 7sqrt32?

Apr 4, 2016

$= 28 \sqrt{2}$

#### Explanation:

$7 \sqrt{32}$

We first prime factorise $32$ ( express a number as a product of its prime factors)

sqrt 32 = sqrt ( 2 * 2 * 2 * 2 * 2 ) = sqrt (2^2 * 2^2 * 2) = 2 * 2 * sqrt2 = color(blue)(4sqrt2

$7 \sqrt{32} = 7 \cdot \left(\textcolor{b l u e}{4 \sqrt{2}}\right)$

$= 28 \sqrt{2}$