Algebra Examples

\sqrt{108}

$\sqrt{108}$

Step 1

Rewrite

108

$108$ as

6^{2} \cdot 3

$6^{2} \cdot 3$ .

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Step 1.1

Factor

36

$36$ out of

108

$108$ .

\sqrt{36 (3)}

$\sqrt{36 (3)}$

Step 1.2

Rewrite

36

$36$ as

6^{2}

$6^{2}$ .

\sqrt{6^{2} \cdot 3}

$\sqrt{6^{2} \cdot 3}$

\sqrt{6^{2} \cdot 3}

$\sqrt{6^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

6 \sqrt{3}

$6 \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

6 \sqrt{3}

$6 \sqrt{3}$

Decimal Form:

10.39230484 \dots

$10.39230484 \dots$

Enter a problem...

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

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