Pre-Algebra Examples

$15 + 8 \sqrt{7} + \sqrt{112}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $112$ as $4^{2} \cdot 7$ .

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Step 1.1.1

Factor $16$ out of $112$ .

$15 + 8 \sqrt{7} + \sqrt{16 (7)}$

Step 1.1.2

Rewrite $16$ as $4^{2}$ .

$15 + 8 \sqrt{7} + \sqrt{4^{2} \cdot 7}$

$15 + 8 \sqrt{7} + \sqrt{4^{2} \cdot 7}$

Step 1.2

Pull terms out from under the radical.

$15 + 8 \sqrt{7} + 4 \sqrt{7}$

$15 + 8 \sqrt{7} + 4 \sqrt{7}$

Step 2

Add $8 \sqrt{7}$ and $4 \sqrt{7}$ .

$15 + 12 \sqrt{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$15 + 12 \sqrt{7}$

Decimal Form:

$46.74901573 \dots$

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