Basic Math Examples

\frac{\sqrt{84}}{\sqrt{7}}

$\frac{\sqrt{84}}{\sqrt{7}}$

Step 1

Combine

$\sqrt{84}$ and

$\sqrt{7}$ into a single radical.

$\sqrt{\frac{84}{7}}$

Step 2

Divide

$84$ by

$7$ .

$\sqrt{12}$

Step 3

Rewrite

$12$ as

$2^{2} \cdot 3$ .

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Step 3.1

Factor

$4$ out of

$12$ .

$\sqrt{4 (3)}$

Step 3.2

Rewrite

$4$ as

$2^{2}$ .

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

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

Step 4

Pull terms out from under the radical.

$2 \sqrt{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{3}$

Decimal Form:

$3.46410161 \dots$

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