# What is the simplest radical form of the square root of 216?

Jul 30, 2015

=color(blue)(6sqrt(6)

#### Explanation:

Prime factorisation of $216$ helps us simplify the radical:
$216 = \sqrt{2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3}$

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

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

=color(blue)(6sqrt(6)