Question

multiply. write your answer in simplest form. $sqrt{5} cdot sqrt{50}$

Explanation:

Step1: Combine square roots

$\sqrt{5} \cdot \sqrt{50} = \sqrt{5 \times 50}$

Step2: Multiply inside the root

$\sqrt{250}$

Step3: Factor into perfect square

$\sqrt{25 \times 10} = \sqrt{25} \cdot \sqrt{10}$

Step4: Simplify perfect square

$5 \cdot \sqrt{10}$

Answer:

$5\sqrt{10}$