Algebra Examples

\sqrt{96}

$\sqrt{96}$

Step 1

Rewrite

96

$96$ as

4^{2} \cdot 6

$4^{2} \cdot 6$ .

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Step 1.1

Factor

16

$16$ out of

96

$96$ .

\sqrt{16 (6)}

$\sqrt{16 (6)}$

Step 1.2

Rewrite

16

$16$ as

4^{2}

$4^{2}$ .

\sqrt{4^{2} \cdot 6}

$\sqrt{4^{2} \cdot 6}$

\sqrt{4^{2} \cdot 6}

$\sqrt{4^{2} \cdot 6}$

Step 2

Pull terms out from under the radical.

4 \sqrt{6}

$4 \sqrt{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

4 \sqrt{6}

$4 \sqrt{6}$

Decimal Form:

9.79795897 \dots

$9.79795897 \dots$

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

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