Algebra Examples

\sqrt{768}

$\sqrt{768}$

Step 1

Rewrite

768

$768$ as

16^{2} \cdot 3

$16^{2} \cdot 3$ .

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Step 1.1

Factor

256

$256$ out of

768

$768$ .

\sqrt{256 (3)}

$\sqrt{256 (3)}$

Step 1.2

Rewrite

256

$256$ as

16^{2}

$16^{2}$ .

\sqrt{16^{2} \cdot 3}

$\sqrt{16^{2} \cdot 3}$

\sqrt{16^{2} \cdot 3}

$\sqrt{16^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

16 \sqrt{3}

$16 \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

16 \sqrt{3}

$16 \sqrt{3}$

Decimal Form:

27.71281292 \dots

$27.71281292 \dots$

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

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