Question

simplify.
\sqrt{10} \cdot \sqrt{2}

Explanation:

Step1: Combine square roots

$\sqrt{10} \cdot \sqrt{2} = \sqrt{10 \times 2}$

Step2: Multiply inside the root

$\sqrt{10 \times 2} = \sqrt{20}$

Step3: Simplify the radical

$\sqrt{20} = \sqrt{4 \times 5} = \sqrt{4} \cdot \sqrt{5} = 2\sqrt{5}$

Answer:

$2\sqrt{5}$