Simplify square root of 3 square root of 3

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

Combine using the product rule for radicals.

$\sqrt{3 \cdot 3}$

Write the expression using exponents.

Multiply $3$ by $3$ .

$\sqrt{9}$

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

$\sqrt{3^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$3$