Trigonometry Examples

$\sqrt{18} + 5 \sqrt{2}$

Simplify each term.

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Rewrite $18$ as $3^{2} \cdot 2$ .

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Factor $9$ out of $18$ .

$\sqrt{9 (2)} + 5 \sqrt{2}$

Rewrite $9$ as $3^{2}$ .

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

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

Pull terms out from under the radical.

$3 \sqrt{2} + 5 \sqrt{2}$

$3 \sqrt{2} + 5 \sqrt{2}$

Add $3 \sqrt{2}$ and $5 \sqrt{2}$ .

$8 \sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt{2}$

Decimal Form:

$11.31370849 \dots$

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