Finite Math Examples

$\sqrt{\frac{48^{2} + 37^{2} + 59^{2}}{3 - 1}}$

Step 1

Raise $48$ to the power of $2$ .

$\sqrt{\frac{2304 + 37^{2} + 59^{2}}{3 - 1}}$

Step 2

Raise $37$ to the power of $2$ .

$\sqrt{\frac{2304 + 1369 + 59^{2}}{3 - 1}}$

Step 3

Raise $59$ to the power of $2$ .

$\sqrt{\frac{2304 + 1369 + 3481}{3 - 1}}$

Step 4

Add $2304$ and $1369$ .

$\sqrt{\frac{3673 + 3481}{3 - 1}}$

Step 5

Add $3673$ and $3481$ .

$\sqrt{\frac{7154}{3 - 1}}$

Step 6

Subtract $1$ from $3$ .

$\sqrt{\frac{7154}{2}}$

Step 7

Divide $7154$ by $2$ .

$\sqrt{3577}$

Step 8

Rewrite $3577$ as $7^{2} \cdot 73$ .

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Step 8.1

Factor $49$ out of $3577$ .

$\sqrt{49 (73)}$

Step 8.2

Rewrite $49$ as $7^{2}$ .

$\sqrt{7^{2} \cdot 73}$

$\sqrt{7^{2} \cdot 73}$

Step 9

Pull terms out from under the radical.

$7 \sqrt{73}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$7 \sqrt{73}$

Decimal Form:

$59.80802621 \dots$

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