Question

simplify. $sqrt{3} cdot sqrt{6}$

Explanation:

Step1: Combine square roots

$\sqrt{3} \cdot \sqrt{6} = \sqrt{3 \times 6}$

Step2: Multiply inside the root

$\sqrt{18}$

Step3: Factor out perfect square

$\sqrt{9 \times 2} = \sqrt{9} \cdot \sqrt{2}$

Step4: Simplify perfect square

$3 \cdot \sqrt{2}$

Answer:

$3\sqrt{2}$