Basic Math Examples

\sqrt{468}

$\sqrt{468}$

Step 1

Rewrite

468

$468$ as

6^{2} \cdot 13

$6^{2} \cdot 13$ .

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Step 1.1

Factor

36

$36$ out of

468

$468$ .

\sqrt{36 (13)}

$\sqrt{36 (13)}$

Step 1.2

Rewrite

36

$36$ as

6^{2}

$6^{2}$ .

\sqrt{6^{2} \cdot 13}

$\sqrt{6^{2} \cdot 13}$

\sqrt{6^{2} \cdot 13}

$\sqrt{6^{2} \cdot 13}$

Step 2

Pull terms out from under the radical.

6 \sqrt{13}

$6 \sqrt{13}$

Step 3

The result can be shown in multiple forms.

Exact Form:

6 \sqrt{13}

$6 \sqrt{13}$

Decimal Form:

21.63330765 \dots

$21.63330765 \dots$

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

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