Evaluate square root of 12* square root of 27

$\sqrt{12} \cdot \sqrt{27}$

Step 1

Combine using the product rule for radicals.

$\sqrt{12 \cdot 27}$

Step 2

Write the expression using exponents.

Multiply $12$ by $27$ .

$\sqrt{324}$

Rewrite $324$ as $18^{2}$ .

$\sqrt{18^{2}}$

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

$18$