Algebra Examples

\sqrt{325}

$\sqrt{325}$

Step 1

Rewrite

325

$325$ as

5^{2} \cdot 13

$5^{2} \cdot 13$ .

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Step 1.1

Factor

25

$25$ out of

325

$325$ .

\sqrt{25 (13)}

$\sqrt{25 (13)}$

Step 1.2

Rewrite

25

$25$ as

5^{2}

$5^{2}$ .

\sqrt{5^{2} \cdot 13}

$\sqrt{5^{2} \cdot 13}$

\sqrt{5^{2} \cdot 13}

$\sqrt{5^{2} \cdot 13}$

Step 2

Pull terms out from under the radical.

5 \sqrt{13}

$5 \sqrt{13}$

Step 3

The result can be shown in multiple forms.

Exact Form:

5 \sqrt{13}

$5 \sqrt{13}$

Decimal Form:

18.02775637 \dots

$18.02775637 \dots$

\sqrt[]{325}

$\sqrt[]{325}$

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

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