Algebra Examples

3 \sqrt{90}

$3 \sqrt{90}$

Step 1

Rewrite

90

$90$ as

3^{2} \cdot 10

$3^{2} \cdot 10$ .

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Step 1.1

Factor

9

$9$ out of

90

$90$ .

3 \sqrt{9 (10)}

$3 \sqrt{9 (10)}$

Step 1.2

Rewrite

9

$9$ as

3^{2}

$3^{2}$ .

3 \sqrt{3^{2} \cdot 10}

$3 \sqrt{3^{2} \cdot 10}$

3 \sqrt{3^{2} \cdot 10}

$3 \sqrt{3^{2} \cdot 10}$

Step 2

Pull terms out from under the radical.

3 (3 \sqrt{10})

$3 (3 \sqrt{10})$

Step 3

Multiply

3

$3$ by

3

$3$ .

9 \sqrt{10}

$9 \sqrt{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

9 \sqrt{10}

$9 \sqrt{10}$

Decimal Form:

28.46049894 \dots

$28.46049894 \dots$

3 \sqrt[]{90}

$3 \sqrt[]{90}$

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

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