Basic Math Examples

\sqrt{152}

$\sqrt{152}$

Step 1

Rewrite

152

$152$ as

2^{2} \cdot 38

$2^{2} \cdot 38$ .

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Step 1.1

Factor

4

$4$ out of

152

$152$ .

\sqrt{4 (38)}

$\sqrt{4 (38)}$

Step 1.2

Rewrite

4

$4$ as

2^{2}

$2^{2}$ .

\sqrt{2^{2} \cdot 38}

$\sqrt{2^{2} \cdot 38}$

\sqrt{2^{2} \cdot 38}

$\sqrt{2^{2} \cdot 38}$

Step 2

Pull terms out from under the radical.

2 \sqrt{38}

$2 \sqrt{38}$

Step 3

The result can be shown in multiple forms.

Exact Form:

2 \sqrt{38}

$2 \sqrt{38}$

Decimal Form:

12.32882800 \dots

$12.32882800 \dots$

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

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