Question

exercises
simplify the quotient.

1. \\(\frac{3\sqrt{5}}{\sqrt{20}}\\)

Explanation:

Step1: Simplify the denominator

$\sqrt{20} = \sqrt{4 \times 5} = 2\sqrt{5}$

Step2: Substitute simplified denominator

$\frac{3\sqrt{5}}{2\sqrt{5}}$

Step3: Cancel common radical terms

$\frac{3\cancel{\sqrt{5}}}{2\cancel{\sqrt{5}}} = \frac{3}{2}$

Answer:

$\frac{3}{2}$