Simplify square root of 5 square root of 5

$\sqrt{5} \sqrt{5}$

Combine using the product rule for radicals.

$\sqrt{5 \cdot 5}$

Write the expression using exponents.

Multiply $5$ by $5$ .

$\sqrt{25}$

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2}}$

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

$5$