perform the indicated operations. simplify the answer when possible. $sqrt{2}cdotsqrt{6}$

Explanation:

Step1: Use square - root multiplication rule

$\sqrt{2}\cdot\sqrt{6}=\sqrt{2\times6}$

Step2: Calculate the product inside the square root

$\sqrt{2\times6}=\sqrt{12}$

Step3: Simplify the square root

$\sqrt{12}=\sqrt{4\times3}=\sqrt{4}\cdot\sqrt{3}=2\sqrt{3}$

Answer:

$2\sqrt{3}$