Algebra Examples

\sqrt{525}

$\sqrt{525}$

Step 1

Rewrite

525

$525$ as

5^{2} \cdot 21

$5^{2} \cdot 21$ .

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Step 1.1

Factor

25

$25$ out of

525

$525$ .

\sqrt{25 (21)}

$\sqrt{25 (21)}$

Step 1.2

Rewrite

25

$25$ as

5^{2}

$5^{2}$ .

\sqrt{5^{2} \cdot 21}

$\sqrt{5^{2} \cdot 21}$

\sqrt{5^{2} \cdot 21}

$\sqrt{5^{2} \cdot 21}$

Step 2

Pull terms out from under the radical.

5 \sqrt{21}

$5 \sqrt{21}$

Step 3

The result can be shown in multiple forms.

Exact Form:

5 \sqrt{21}

$5 \sqrt{21}$

Decimal Form:

22.91287847 \dots

$22.91287847 \dots$

$\sqrt[]{525}$

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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