# How do y simplify sqrt648?

Jul 2, 2016

$18 \sqrt{2}$

#### Explanation:

Write 648 as the product of its prime factors first:

$\sqrt{648} = \sqrt{2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 3}$

=$\sqrt{2 \times {2}^{2} \times {3}^{4}} \text{ }$ group even powers where possible.

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

= $18 \sqrt{2}$