Question

simplify.
\sqrt{\frac{50}{8}}
be sure to write your answer in simplest form.

Explanation:

Step1: Simplify the fraction inside the square root

First, simplify $\frac{50}{8}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, $\frac{50\div2}{8\div2}=\frac{25}{4}$. Now the expression becomes $\sqrt{\frac{25}{4}}$.

Step2: Take the square root of the numerator and the denominator

We know that $\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$ (for $a\geq0$ and $b > 0$). So, $\sqrt{\frac{25}{4}}=\frac{\sqrt{25}}{\sqrt{4}}$. Since $\sqrt{25} = 5$ and $\sqrt{4}=2$, we have $\frac{5}{2}$.

Answer:

$\frac{5}{2}$