Simplify square root of 18-3 square root of 2

$\sqrt{18} - 3 \sqrt{2}$

Step 1

Simplify each term.

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

Factor $9$ out of $18$ .

$\sqrt{9 (2)} - 3 \sqrt{2}$

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

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

Pull terms out from under the radical.

$3 \sqrt{2} - 3 \sqrt{2}$

Step 2

Subtract $3 \sqrt{2}$ from $3 \sqrt{2}$ .

$0$