Finite Math Examples

$\sqrt{{(- 3 - 6)}^{2} + {(- 5 - (- 2))}^{2}}$

Step 1

Subtract $6$ from $- 3$ .

$\sqrt{{(- 9)}^{2} + {(- 5 - (- 2))}^{2}}$

Step 2

Raise $- 9$ to the power of $2$ .

$\sqrt{81 + {(- 5 - (- 2))}^{2}}$

Step 3

Multiply $- 1$ by $- 2$ .

$\sqrt{81 + {(- 5 + 2)}^{2}}$

Step 4

Add $- 5$ and $2$ .

$\sqrt{81 + {(- 3)}^{2}}$

Step 5

Raise $- 3$ to the power of $2$ .

$\sqrt{81 + 9}$

Step 6

Add $81$ and $9$ .

$\sqrt{90}$

Step 7

Rewrite $90$ as $3^{2} \cdot 10$ .

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Step 7.1

Factor $9$ out of $90$ .

$\sqrt{9 (10)}$

Step 7.2

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

$\sqrt{3^{2} \cdot 10}$

$\sqrt{3^{2} \cdot 10}$

Step 8

Pull terms out from under the radical.

$3 \sqrt{10}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{10}$

Decimal Form:

$9.48683298 \dots$

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