Question

pythagorean theorem and simplifying radicals practice
15 of 32
simplify.

1. \\(\sqrt{\frac{10}{49}}\\)

Explanation:

Step1: Apply quotient rule for radicals

$\sqrt{\frac{10}{49}} = \frac{\sqrt{10}}{\sqrt{49}}$

Step2: Simplify perfect square root

$\sqrt{49} = 7$, so $\frac{\sqrt{10}}{\sqrt{49}} = \frac{\sqrt{10}}{7}$

Answer:

$\frac{\sqrt{10}}{7}$
(To fill the boxes: $\sqrt{10}$ in the top box, $7$ in the bottom box)