Question

exercises
simplify the quotient.

1. \\(\frac{\sqrt{50}}{\sqrt{75}}\\)

Explanation:

Step1: Combine radicals into one

$\frac{\sqrt{50}}{\sqrt{75}} = \sqrt{\frac{50}{75}}$

Step2: Simplify the fraction inside

$\sqrt{\frac{50}{75}} = \sqrt{\frac{2}{3}}$

Step3: Rationalize the denominator

$\sqrt{\frac{2}{3}} = \frac{\sqrt{2}}{\sqrt{3}} = \frac{\sqrt{2} \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} = \frac{\sqrt{6}}{3}$

Answer:

$\frac{\sqrt{6}}{3}$