Simplify (4+ square root of 36)/2

$\frac{4 + \sqrt{36}}{2}$

Step 1

Simplify the numerator.

Rewrite $36$ as $6^{2}$ .

$\frac{4 + \sqrt{6^{2}}}{2}$

Pull terms out from under the radical, assuming positive real numbers.

$\frac{4 + 6}{2}$

Add $4$ and $6$ .

$\frac{10}{2}$

Step 2

Divide $10$ by $2$ .

$5$