Simplify 3 square root of 18a^2

$3 \sqrt{18 a^{2}}$

Step 1

Rewrite $18 a^{2}$ as ${(3 a)}^{2} \cdot 2$ .

Factor $9$ out of $18$ .

$3 \sqrt{9 (2) a^{2}}$

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

$3 \sqrt{3^{2} \cdot 2 a^{2}}$

Move $2$ .

$3 \sqrt{3^{2} a^{2} \cdot 2}$

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

$3 \sqrt{{(3 a)}^{2} \cdot 2}$

$3 \sqrt{{(3 a)}^{2} \cdot 2}$

Step 2

Pull terms out from under the radical.

$3 (3 a \sqrt{2})$

Step 3

Multiply $3$ by $3$ .

$9 a \sqrt{2}$

Related Questions