Simplify square root of 45x

$\sqrt{45 x}$

Step 1

Rewrite $45 x$ as $3^{2} \cdot (5 x)$ .

Factor $9$ out of $45$ .

$\sqrt{9 (5) x}$

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} \cdot 5 x}$

Add parentheses.

$\sqrt{3^{2} \cdot (5 x)}$

$\sqrt{3^{2} \cdot (5 x)}$

Step 2

Pull terms out from under the radical.

$3 \sqrt{5 x}$

Related Questions