Basic Math Examples

\sqrt{4500}

$\sqrt{4500}$

Step 1

Rewrite

4500

$4500$ as

30^{2} \cdot 5

$30^{2} \cdot 5$ .

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Step 1.1

Factor

900

$900$ out of

4500

$4500$ .

\sqrt{900 (5)}

$\sqrt{900 (5)}$

Step 1.2

Rewrite

900

$900$ as

30^{2}

$30^{2}$ .

\sqrt{30^{2} \cdot 5}

$\sqrt{30^{2} \cdot 5}$

\sqrt{30^{2} \cdot 5}

$\sqrt{30^{2} \cdot 5}$

Step 2

Pull terms out from under the radical.

30 \sqrt{5}

$30 \sqrt{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

30 \sqrt{5}

$30 \sqrt{5}$

Decimal Form:

67.08203932 \dots

$67.08203932 \dots$

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

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