Question

$\sqrt{\dfrac{64}{121}} = \square$

Explanation:

Step1: Recall square root property

The square root of a fraction is the fraction of the square roots, i.e., $\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$ (for $a\geq0, b > 0$).
So, $\sqrt{\frac{64}{121}}=\frac{\sqrt{64}}{\sqrt{121}}$.

Step2: Calculate square roots

We know that $\sqrt{64} = 8$ (since $8\times8 = 64$) and $\sqrt{121}=11$ (since $11\times11 = 121$).
Then, $\frac{\sqrt{64}}{\sqrt{121}}=\frac{8}{11}$.

Answer:

$\frac{8}{11}$