Question

exercises
simplify the quotient.

1. \\(\frac{9}{\sqrt{52}}\\)

Explanation:

Step1: Simplify the radical denominator

$\sqrt{52} = \sqrt{4 \times 13} = 2\sqrt{13}$

Step2: Rationalize the denominator

$\frac{9}{2\sqrt{13}} = \frac{9 \times \sqrt{13}}{2\sqrt{13} \times \sqrt{13}}$

Step3: Simplify the expression

$\frac{9\sqrt{13}}{2 \times 13} = \frac{9\sqrt{13}}{26}$

Answer:

$\frac{9\sqrt{13}}{26}$