Algebra Examples

\sqrt{150}

$\sqrt{150}$

Step 1

Rewrite

150

$150$ as

5^{2} \cdot 6

$5^{2} \cdot 6$ .

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Step 1.1

Factor

25

$25$ out of

150

$150$ .

\sqrt{25 (6)}

$\sqrt{25 (6)}$

Step 1.2

Rewrite

25

$25$ as

5^{2}

$5^{2}$ .

\sqrt{5^{2} \cdot 6}

$\sqrt{5^{2} \cdot 6}$

\sqrt{5^{2} \cdot 6}

$\sqrt{5^{2} \cdot 6}$

Step 2

Pull terms out from under the radical.

5 \sqrt{6}

$5 \sqrt{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

5 \sqrt{6}

$5 \sqrt{6}$

Decimal Form:

12.24744871 \dots

$12.24744871 \dots$

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

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