# What is the perfect square of 72?

Jul 25, 2015

#### Answer:

=color(blue)(6sqrt2

#### Explanation:

$72$ is not a perfect square, however the square root of $72$ can be simplified further by prime factorising 72

$\sqrt{72} = \sqrt{2 \cdot 2 \cdot 2 \cdot 3 \cdot 3}$

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

=color(blue)(6sqrt2