# How do you simplify sqrt(300a^4)?

May 13, 2016

#### Answer:

=$10 {a}^{2} \sqrt{3}$

#### Explanation:

300 is not a perfect square, but it can be broken down into factors which have square roots.

$\sqrt{300 {a}^{4}} = \sqrt{100 \times 3 {a}^{4}}$

=$10 {a}^{2} \sqrt{3}$