Precalculus Examples

$3^{2} + 3^{2} + \sqrt{18}$

Step 1

Simplify each term.

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Step 1.1

Raise $3$ to the power of $2$ .

$9 + 3^{2} + \sqrt{18}$

Step 1.2

Raise $3$ to the power of $2$ .

$9 + 9 + \sqrt{18}$

Step 1.3

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

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Step 1.3.1

Factor $9$ out of $18$ .

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

Step 1.3.2

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

$9 + 9 + \sqrt{3^{2} \cdot 2}$

$9 + 9 + \sqrt{3^{2} \cdot 2}$

Step 1.4

Pull terms out from under the radical.

$9 + 9 + 3 \sqrt{2}$

$9 + 9 + 3 \sqrt{2}$

Step 2

Add $9$ and $9$ .

$18 + 3 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$18 + 3 \sqrt{2}$

Decimal Form:

$22.24264068 \dots$

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