Question

simplify. $sqrt{\frac{75}{12}}$

Explanation:

Step1: Simplify the fraction inside

$\frac{75}{12} = \frac{25}{4}$

Step2: Take square root of the fraction

$\sqrt{\frac{25}{4}} = \frac{\sqrt{25}}{\sqrt{4}}$

Step3: Evaluate individual square roots

$\frac{\sqrt{25}}{\sqrt{4}} = \frac{5}{2}$

Answer:

$\frac{5}{2}$