Pre-Algebra Examples

$f (4) = \sqrt{2 (4) + 10}$

Step 1

Multiply $2$ by $4$ .

$f (4) = \sqrt{8 + 10}$

Step 2

Add $8$ and $10$ .

$f (4) = \sqrt{18}$

Step 3

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

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Step 3.1

Factor $9$ out of $18$ .

$f (4) = \sqrt{9 (2)}$

Step 3.2

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

$f (4) = \sqrt{3^{2} \cdot 2}$

$f (4) = \sqrt{3^{2} \cdot 2}$

Step 4

Pull terms out from under the radical.

$f (4) = 3 \sqrt{2}$

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