Simplify (8+ square root of 4)/(2(4))

$\frac{8 + \sqrt{4}}{2 (4)}$

Simplify the numerator.

Rewrite $4$ as $2^{2}$ .

$\frac{8 + \sqrt{2^{2}}}{2 (4)}$

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

$\frac{8 + 2}{2 (4)}$

Add $8$ and $2$ .

$\frac{10}{2 (4)}$

Reduce the expression by cancelling the common factors.

Multiply $2$ by $4$ .

$\frac{10}{8}$

Cancel the common factor of $10$ and $8$ .

Factor $2$ out of $10$ .

$\frac{2 (5)}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$\frac{2 \cdot 5}{2 \cdot 4}$

Cancel the common factor.

$\frac{2 \cdot 5}{2 \cdot 4}$

Rewrite the expression.

$\frac{5}{4}$

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{4}$

Decimal Form:

$1.25$

Mixed Number Form:

$1 \frac{1}{4}$