# How do you simplify sqrt(363b^3c)?

Sep 17, 2016

$11 b \sqrt{3 b c}$

#### Explanation:

Write 363 as the product of its prime factors first - then you will know what you are working with.

$\sqrt{363 {b}^{3} c} = \sqrt{3 \times 11 \times 11 {b}^{3} c}$

Identify any squares: = $\sqrt{3 \times {11}^{2} \times {b}^{2} \times b \times c}$

Find square roots where possible.

=$11 b \sqrt{3 b c}$