Simplify 3 square root of 3- square root of 27

$3 \sqrt{3} - \sqrt{27}$

Step 1

Simplify each term.

Rewrite $27$ as $3^{2} \cdot 3$ .

Factor $9$ out of $27$ .

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

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

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

Pull terms out from under the radical.

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

Multiply $3$ by $- 1$ .

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

Step 2

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

$0$