Finite Math Examples

$\sqrt{{(2 - 4)}^{2} + {(- 3 - 9)}^{2}}$

Step 1

Subtract $4$ from $2$ .

$\sqrt{{(- 2)}^{2} + {(- 3 - 9)}^{2}}$

Step 2

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

$\sqrt{4 + {(- 3 - 9)}^{2}}$

Step 3

Subtract $9$ from $- 3$ .

$\sqrt{4 + {(- 12)}^{2}}$

Step 4

Raise $- 12$ to the power of $2$ .

$\sqrt{4 + 144}$

Step 5

Add $4$ and $144$ .

$\sqrt{148}$

Step 6

Rewrite $148$ as $2^{2} \cdot 37$ .

Tap for more steps...

Step 6.1

Factor $4$ out of $148$ .

$\sqrt{4 (37)}$

Step 6.2

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

$\sqrt{2^{2} \cdot 37}$

$\sqrt{2^{2} \cdot 37}$

Step 7

Pull terms out from under the radical.

$2 \sqrt{37}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{37}$

Decimal Form:

$12.16552506 \dots$

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