Question

1. express \\(\sqrt{75}\\) in simplest radical form.

Explanation:

Step1: Factor out perfect square

$\sqrt{75} = \sqrt{25 \times 3}$

Step2: Split radical into product

$\sqrt{25 \times 3} = \sqrt{25} \times \sqrt{3}$

Step3: Simplify perfect square root

$\sqrt{25} \times \sqrt{3} = 5\sqrt{3}$

Answer:

$5\sqrt{3}$