Simplify - square root of 45x^2

$- \sqrt{45 x^{2}}$

Step 1

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

Factor $9$ out of $45$ .

$- \sqrt{9 (5) x^{2}}$

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

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

Move $5$ .

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

Rewrite $3^{2} x^{2}$ as ${(3 x)}^{2}$ .

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

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

Step 2

Pull terms out from under the radical.

$- (3 x \sqrt{5})$

Step 3

Multiply $3$ by $- 1$ .

$- 3 x \sqrt{5}$

Related Questions