Question

√(25/196) =

Explanation:

Step1: Recall square root property

The square root of a fraction $\sqrt{\frac{a}{b}}$ is equal to $\frac{\sqrt{a}}{\sqrt{b}}$ (for $a\geq0, b>0$). So, $\sqrt{\frac{25}{196}}=\frac{\sqrt{25}}{\sqrt{196}}$.

Step2: Calculate square roots

We know that $\sqrt{25} = 5$ (since $5\times5 = 25$) and $\sqrt{196}=14$ (since $14\times14 = 196$). Thus, $\frac{\sqrt{25}}{\sqrt{196}}=\frac{5}{14}$.

Answer:

$\frac{5}{14}$