Basic Math Examples

$10 + \sqrt{100 - 12 \cdot - 9}$

Step 1

Multiply $- 12$ by $- 9$ .

$10 + \sqrt{100 + 108}$

Step 2

Add $100$ and $108$ .

$10 + \sqrt{208}$

Step 3

Rewrite $208$ as $4^{2} \cdot 13$ .

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Step 3.1

Factor $16$ out of $208$ .

$10 + \sqrt{16 (13)}$

Step 3.2

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

$10 + \sqrt{4^{2} \cdot 13}$

$10 + \sqrt{4^{2} \cdot 13}$

Step 4

Pull terms out from under the radical.

$10 + 4 \sqrt{13}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$10 + 4 \sqrt{13}$

Decimal Form:

$24.42220510 \dots$

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