Simplify the Radical Expression ( square root of 24)/8

$\frac{\sqrt{24}}{8}$

Simplify the numerator.

Rewrite $24$ as $2^{2} \cdot 6$ .

Factor $4$ out of $24$ .

$\frac{\sqrt{4 (6)}}{8}$

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

$\frac{\sqrt{2^{2} \cdot 6}}{8}$

Pull terms out from under the radical.

$\frac{| 2 | \sqrt{6}}{8}$

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$\frac{2 \sqrt{6}}{8}$

Cancel the common factor of $2$ and $8$ .

Factor $2$ out of $2 \sqrt{6}$ .

$\frac{2 (\sqrt{6})}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$\frac{2 \sqrt{6}}{2 \cdot 4}$

Cancel the common factor.

$\frac{2 \sqrt{6}}{2 \cdot 4}$

Rewrite the expression.

$\frac{\sqrt{6}}{4}$

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{6}}{4}$

Decimal Form:

$0.61237243 \dots$