How do you simplify square root sqrt(180x^2)?

Apr 26, 2018

$6 \sqrt{5} x$

Explanation:

To simplify $\sqrt{180 {x}^{2}}$ write $180$ as the product of its prime factors:

$\sqrt{180 {x}^{2}} = \sqrt{2 \times 2 \times 3 \times 3 \times 5 \times {x}^{2}}$

$= \sqrt{{2}^{2} \times {3}^{2} \times 5 \times {x}^{2}} \text{ } \leftarrow$ find all possible roots.

$= 2 \times 3 \times x \sqrt{5}$

$= 6 \sqrt{5} x$