Algebra Examples

$\frac{\sqrt{252}}{3}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $252$ as $6^{2} \cdot 7$ .

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Step 1.1.1

Factor $36$ out of $252$ .

$\frac{\sqrt{36 (7)}}{3}$

Step 1.1.2

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

$\frac{\sqrt{6^{2} \cdot 7}}{3}$

$\frac{\sqrt{6^{2} \cdot 7}}{3}$

Step 1.2

Pull terms out from under the radical.

$\frac{6 \sqrt{7}}{3}$

$\frac{6 \sqrt{7}}{3}$

Step 2

Cancel the common factor of $6$ and $3$ .

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Step 2.1

Factor $3$ out of $6 \sqrt{7}$ .

$\frac{3 (2 \sqrt{7})}{3}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $3$ out of $3$ .

$\frac{3 (2 \sqrt{7})}{3 (1)}$

Step 2.2.2

Cancel the common factor.

$\frac{3 (2 \sqrt{7})}{3 \cdot 1}$

Step 2.2.3

Rewrite the expression.

$\frac{2 \sqrt{7}}{1}$

Step 2.2.4

Divide $2 \sqrt{7}$ by $1$ .

$2 \sqrt{7}$

$2 \sqrt{7}$

$2 \sqrt{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{7}$

Decimal Form:

$5.29150262 \dots$

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