which expression is equivalent to $sqrt{\frac{36}{25}}$?\n$\frac{6}{25}$\n$\frac{5}{6}$\n$\frac{6}{5}$\n$\fra…

which expression is equivalent to $sqrt{\frac{36}{25}}$?\n$\frac{6}{25}$\n$\frac{5}{6}$\n$\frac{6}{5}$\n$\frac{36}{25}$

which expression is equivalent to $sqrt{\frac{36}{25}}$?\n$\frac{6}{25}$\n$\frac{5}{6}$\n$\frac{6}{5}$\n$\frac{36}{25}$

Answer

Explanation:

Step1: Apply square - root rule for fractions

The square - root of a fraction $\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$ ($a\geq0,b > 0$). Here $a = 36$ and $b = 25$, so $\sqrt{\frac{36}{25}}=\frac{\sqrt{36}}{\sqrt{25}}$.

Step2: Calculate square - roots

We know that $\sqrt{36}=6$ and $\sqrt{25}=5$. So $\frac{\sqrt{36}}{\sqrt{25}}=\frac{6}{5}$.

Answer:

C. $\frac{6}{5}$