Question

multiply. write your answer in simplest form.\\(\sqrt{2} \cdot \sqrt{6}\\)

Explanation:

Step1: Use the property of square roots $\sqrt{a} \cdot \sqrt{b} = \sqrt{ab}$

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

Step2: Calculate the product inside the square root

$\sqrt{2 \times 6} = \sqrt{12}$

Step3: Simplify $\sqrt{12}$ by factoring out a perfect square

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

Answer:

$2\sqrt{3}$