Question

4 fill in the blank 0.5 points simplify, if necessary round to the hundredth \\(\sqrt{\frac{36}{49}}\\) type your answer...

Explanation:

Step1: Apply square root property

The square root of a fraction is the fraction of the square roots, so $\sqrt{\frac{36}{49}}=\frac{\sqrt{36}}{\sqrt{49}}$.

Step2: Calculate square roots

$\sqrt{36} = 6$ and $\sqrt{49}=7$, so $\frac{\sqrt{36}}{\sqrt{49}}=\frac{6}{7}\approx0.86$ (rounded to the hundredth).

Answer:

$\frac{6}{7}$ (or approximately $0.86$)