Pre-Algebra Examples

$x = \frac{4 (\sqrt{2272})}{4}$

Step 1

Multiply $4$ by $\sqrt{2272}$ .

$x = \frac{4 \sqrt{2272}}{4}$

Step 2

Simplify $\frac{4 \sqrt{2272}}{4}$ .

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Step 2.1

Cancel the common factor of $4$ .

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Step 2.1.1

Cancel the common factor.

$x = \frac{4 \sqrt{2272}}{4}$

Step 2.1.2

Divide $\sqrt{2272}$ by $1$ .

$x = \sqrt{2272}$

$x = \sqrt{2272}$

Step 2.2

Rewrite $2272$ as $4^{2} \cdot 142$ .

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Step 2.2.1

Factor $16$ out of $2272$ .

$x = \sqrt{16 (142)}$

Step 2.2.2

Rewrite $16$ as $4^{2}$ .

$x = \sqrt{4^{2} \cdot 142}$

$x = \sqrt{4^{2} \cdot 142}$

Step 2.3

Pull terms out from under the radical.

$x = 4 \sqrt{142}$

$x = 4 \sqrt{142}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = 4 \sqrt{142}$

Decimal Form:

$x = 47.66550115 \dots$

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