Algebra Examples

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

Step 1

Simplify the numerator.

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Step 1.1

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

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Step 1.1.1

Factor $4$ out of $24$ .

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

Step 1.1.2

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

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

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

Step 1.2

Pull terms out from under the radical.

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

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

Step 2

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

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Step 2.1

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

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $8$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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

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

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.61237243 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$