Question

simplify.
$\frac{sqrt{20}+4}{2}$

Explanation:

Step1: Simplify the square - root term

Simplify $\sqrt{20}=\sqrt{4\times5}=2\sqrt{5}$. So the expression becomes $\frac{2\sqrt{5}+4}{2}$.

Step2: Split the fraction

$\frac{2\sqrt{5}+4}{2}=\frac{2\sqrt{5}}{2}+\frac{4}{2}$.

Step3: Simplify each fraction

$\frac{2\sqrt{5}}{2}=\sqrt{5}$ and $\frac{4}{2} = 2$. So the simplified form is $\sqrt{5}+2$.

Answer:

$\sqrt{5}+2$