Simplify 4/( square root of 64)

$\frac{4}{\sqrt{64}}$

Simplify the denominator.

Rewrite $64$ as $8^{2}$ .

$\frac{4}{\sqrt{8^{2}}}$

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

$\frac{4}{8}$

Cancel the common factor of $4$ and $8$ .

Factor $4$ out of $4$ .

$\frac{4 (1)}{8}$

Cancel the common factors.

Factor $4$ out of $8$ .

$\frac{4 \cdot 1}{4 \cdot 2}$

Cancel the common factor.

$\frac{4 \cdot 1}{4 \cdot 2}$

Rewrite the expression.

$\frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$