Basic Math Examples

\sqrt{675}

$\sqrt{675}$

Step 1

Rewrite

675

$675$ as

15^{2} \cdot 3

$15^{2} \cdot 3$ .

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Step 1.1

Factor

225

$225$ out of

675

$675$ .

\sqrt{225 (3)}

$\sqrt{225 (3)}$

Step 1.2

Rewrite

225

$225$ as

15^{2}

$15^{2}$ .

\sqrt{15^{2} \cdot 3}

$\sqrt{15^{2} \cdot 3}$

\sqrt{15^{2} \cdot 3}

$\sqrt{15^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

15 \sqrt{3}

$15 \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

15 \sqrt{3}

$15 \sqrt{3}$

Decimal Form:

25.98076211 \dots

$25.98076211 \dots$

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

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