Simplify square root of 16x

$\sqrt{16 x}$

Step 1

Rewrite $16 x$ as ${(2^{2})}^{2} x$ .

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2} x}$

Rewrite $4$ as $2^{2}$ .

$\sqrt{{(2^{2})}^{2} x}$

$\sqrt{{(2^{2})}^{2} x}$

Step 2

Pull terms out from under the radical.

$2^{2} \sqrt{x}$

Step 3

Raise $2$ to the power of $2$ .

$4 \sqrt{x}$

Related Questions