Question

what is \\(\sqrt{\frac{16}{121}}\\)?
\\(\circ\\) a. \\(\frac{8}{121}\\)
\\(\circ\\) b. \\(\frac{4}{11}\\)
\\(\circ\\) c. \\(\frac{16}{11}\\)
\\(\circ\\) d. \\(\frac{4}{121}\\)
reset next

Explanation:

Step1: Recall square root property

The square root of a fraction $\sqrt{\frac{a}{b}}$ (where $a\geq0$ and $b > 0$) is equal to $\frac{\sqrt{a}}{\sqrt{b}}$. So for $\sqrt{\frac{16}{121}}$, we can write it as $\frac{\sqrt{16}}{\sqrt{121}}$.

Step2: Calculate square roots of numerator and denominator

We know that $\sqrt{16}=4$ (because $4\times4 = 16$) and $\sqrt{121}=11$ (because $11\times11=121$). So substituting these values into the fraction $\frac{\sqrt{16}}{\sqrt{121}}$, we get $\frac{4}{11}$.

Answer:

B. $\frac{4}{11}$