Basic Math Examples

\sqrt{18}

$\sqrt{18}$

Step 1

Rewrite

18

$18$ as

3^{2} \cdot 2

$3^{2} \cdot 2$ .

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Step 1.1

Factor

9

$9$ out of

18

$18$ .

\sqrt{9 (2)}

$\sqrt{9 (2)}$

Step 1.2

Rewrite

9

$9$ as

3^{2}

$3^{2}$ .

\sqrt{3^{2} \cdot 2}

$\sqrt{3^{2} \cdot 2}$

\sqrt{3^{2} \cdot 2}

$\sqrt{3^{2} \cdot 2}$

Step 2

Pull terms out from under the radical.

3 \sqrt{2}

$3 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

3 \sqrt{2}

$3 \sqrt{2}$

Decimal Form:

4.24264068 \dots

$4.24264068 \dots$

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

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