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Precalculus Examples

\sqrt{75}

$\sqrt{75}$

Step 1

Rewrite

75

$75$ as

5^{2} \cdot 3

$5^{2} \cdot 3$ .

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Step 1.1

Factor

25

$25$ out of

75

$75$ .

\sqrt{25 (3)}

$\sqrt{25 (3)}$

Step 1.2

Rewrite

25

$25$ as

5^{2}

$5^{2}$ .

\sqrt{5^{2} \cdot 3}

$\sqrt{5^{2} \cdot 3}$

\sqrt{5^{2} \cdot 3}

$\sqrt{5^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

5 \sqrt{3}

$5 \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

5 \sqrt{3}

$5 \sqrt{3}$

Decimal Form:

8.66025403 \dots

$8.66025403 \dots$

Enter YOUR Problem

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

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