# What is the square root of 768 in simplified radical form?

Apr 7, 2016

If you are not sure of the factors use a factor tree

$16 \sqrt{3}$

#### Explanation:

Given:$\text{ } \sqrt{768}$

$\sqrt{768} = \sqrt{{2}^{2} \times {2}^{2} \times {2}^{2} \times {2}^{2} \times 3}$

$= 2 \times 2 \times 2 \times 2 \times \sqrt{3}$

$= 16 \sqrt{3}$