Question

exercises
simplify the quotient.

1. \\(\frac{\sqrt{18}}{\sqrt{10}}\\)

Explanation:

Step1: Combine radicals into one

$\frac{\sqrt{18}}{\sqrt{10}} = \sqrt{\frac{18}{10}}$

Step2: Simplify the fraction inside

$\sqrt{\frac{18}{10}} = \sqrt{\frac{9}{5}}$

Step3: Split radical into numerator/denominator

$\sqrt{\frac{9}{5}} = \frac{\sqrt{9}}{\sqrt{5}}$

Step4: Simplify $\sqrt{9}$ and rationalize

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

Answer:

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