Algebra Examples

$\sqrt{84}$

Step 1

Rewrite

$84$ as

$2^{2} \cdot 21$ .

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Step 1.1

Factor

$4$ out of

$84$ .

$\sqrt{4 (21)}$

Step 1.2

Rewrite

$4$ as

$2^{2}$ .

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

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

Step 2

Pull terms out from under the radical.

$2 \sqrt{21}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{21}$

Decimal Form:

$9.16515138 \dots$

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