Question

question
express in simplest form with a rational denominator.
\\(\frac{5}{\sqrt{63}}\\)
answer attempt 1 out of 2

Explanation:

Step1: Simplify the denominator

$\sqrt{63}=\sqrt{9\times7}=3\sqrt{7}$
So the fraction becomes $\frac{5}{3\sqrt{7}}$.

Step2: Rationalize the denominator

Multiply the numerator and denominator by $\sqrt{7}$: $\frac{5\times\sqrt{7}}{3\sqrt{7}\times\sqrt{7}}$.

Step3: Calculate the result

$3\sqrt{7}\times\sqrt{7}=3\times7 = 21$, so the fraction is $\frac{5\sqrt{7}}{21}$.

Answer:

$\frac{5\sqrt{7}}{21}$