Basic Math Examples

$\sqrt{{(12 - (- 2))}^{2} + {(- 8 - 10)}^{2}}$

Step 1

Multiply $- 1$ by $- 2$ .

$\sqrt{{(12 + 2)}^{2} + {(- 8 - 10)}^{2}}$

Step 2

Add $12$ and $2$ .

$\sqrt{14^{2} + {(- 8 - 10)}^{2}}$

Step 3

Raise $14$ to the power of $2$ .

$\sqrt{196 + {(- 8 - 10)}^{2}}$

Step 4

Subtract $10$ from $- 8$ .

$\sqrt{196 + {(- 18)}^{2}}$

Step 5

Raise $- 18$ to the power of $2$ .

$\sqrt{196 + 324}$

Step 6

Add $196$ and $324$ .

$\sqrt{520}$

Step 7

Rewrite $520$ as $2^{2} \cdot 130$ .

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Step 7.1

Factor $4$ out of $520$ .

$\sqrt{4 (130)}$

Step 7.2

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

$\sqrt{2^{2} \cdot 130}$

$\sqrt{2^{2} \cdot 130}$

Step 8

Pull terms out from under the radical.

$2 \sqrt{130}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{130}$

Decimal Form:

$22.80350850 \dots$

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