Linear Algebra Examples

$\frac{2 \sqrt{351}}{351}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite

$351$ as

$3^{2} \cdot 39$ .

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Step 1.1.1

Factor

$9$ out of

$351$ .

$\frac{2 \sqrt{9 (39)}}{351}$

Step 1.1.2

Rewrite

$9$ as

$3^{2}$ .

$\frac{2 \sqrt{3^{2} \cdot 39}}{351}$

$\frac{2 \sqrt{3^{2} \cdot 39}}{351}$

Step 1.2

Pull terms out from under the radical.

$\frac{2 \cdot 3 \sqrt{39}}{351}$

Step 1.3

Multiply

$2$ by

$3$ .

$\frac{6 \sqrt{39}}{351}$

$\frac{6 \sqrt{39}}{351}$

Step 2

Cancel the common factor of

$6$ and

$351$ .

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Step 2.1

Factor

$3$ out of

$6 \sqrt{39}$ .

$\frac{3 (2 \sqrt{39})}{351}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

$3$ out of

$351$ .

$\frac{3 (2 \sqrt{39})}{3 (117)}$

Step 2.2.2

Cancel the common factor.

$\frac{3 (2 \sqrt{39})}{3 \cdot 117}$

Step 2.2.3

Rewrite the expression.

$\frac{2 \sqrt{39}}{117}$

$\frac{2 \sqrt{39}}{117}$

$\frac{2 \sqrt{39}}{117}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{2 \sqrt{39}}{117}$

Decimal Form:

$0.10675210 \dots$

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