Basic Math Examples

\frac{\sqrt{48}}{81}

$\frac{\sqrt{48}}{81}$

Step 1

Rewrite

48

$48$ as

4^{2} \cdot 3

$4^{2} \cdot 3$ .

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Step 1.1

Factor

16

$16$ out of

48

$48$ .

\frac{\sqrt{16 (3)}}{81}

$\frac{\sqrt{16 (3)}}{81}$

Step 1.2

Rewrite

16

$16$ as

4^{2}

$4^{2}$ .

\frac{\sqrt{4^{2} \cdot 3}}{81}

$\frac{\sqrt{4^{2} \cdot 3}}{81}$

\frac{\sqrt{4^{2} \cdot 3}}{81}

$\frac{\sqrt{4^{2} \cdot 3}}{81}$

Step 2

Pull terms out from under the radical.

\frac{4 \sqrt{3}}{81}

$\frac{4 \sqrt{3}}{81}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{4 \sqrt{3}}{81}

$\frac{4 \sqrt{3}}{81}$

Decimal Form:

0.08553337 \dots

$0.08553337 \dots$

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

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