Question

simplify.
\frac{\sqrt{2}}{\sqrt{72}}

Explanation:

Step1: Combine square roots

$\frac{\sqrt{2}}{\sqrt{72}} = \sqrt{\frac{2}{72}}$

Step2: Simplify the fraction inside

$\sqrt{\frac{2}{72}} = \sqrt{\frac{1}{36}}$

Step3: Evaluate the square root

$\sqrt{\frac{1}{36}} = \frac{1}{6}$

Answer:

$\frac{1}{6}$