Question

express in simplest radical form.\\(\sqrt{2}\sqrt{20}\\)

Explanation:

Step1: Combine the square roots

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

Step2: Calculate the product inside

$\sqrt{40}$

Step3: Factor out perfect square

$\sqrt{4 \times 10} = \sqrt{4} \times \sqrt{10}$

Step4: Simplify the perfect square

$2\sqrt{10}$

Answer:

$2\sqrt{10}$