Simplify 2 square root of 18a^6b^2

$2 \sqrt{18} a^{6} b^{2}$

Step 1

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

Factor $9$ out of $18$ .

$2 \sqrt{9 (2)} a^{6} b^{2}$

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

$2 \sqrt{3^{2} \cdot 2} a^{6} b^{2}$

Step 2

Pull terms out from under the radical.

$2 (3 \sqrt{2}) a^{6} b^{2}$

Step 3

Multiply $3$ by $2$ .

$6 \sqrt{2} a^{6} b^{2}$