Question

exercises
simplify the quotient.

1. \\(\frac{4}{\sqrt{12}}\\)

Explanation:

Step1: Simplify the denominator

$\sqrt{12} = \sqrt{4 \times 3} = 2\sqrt{3}$

Step2: Rewrite the original fraction

$\frac{4}{2\sqrt{3}} = \frac{2}{\sqrt{3}}$

Step3: Rationalize the denominator

$\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{2\sqrt{3}}{3}$

Answer:

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