Finite Math Examples

$\sqrt{{(3 - 1)}^{2} + {(3 - 1)}^{2}}$

Step 1

Subtract $1$ from $3$ .

$\sqrt{2^{2} + {(3 - 1)}^{2}}$

Step 2

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

$\sqrt{4 + {(3 - 1)}^{2}}$

Step 3

Subtract $1$ from $3$ .

$\sqrt{4 + 2^{2}}$

Step 4

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

$\sqrt{4 + 4}$

Step 5

Add $4$ and $4$ .

$\sqrt{8}$

Step 6

Rewrite $8$ as $2^{2} \cdot 2$ .

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Step 6.1

Factor $4$ out of $8$ .

$\sqrt{4 (2)}$

Step 6.2

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

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

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

Step 7

Pull terms out from under the radical.

$2 \sqrt{2}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{2}$

Decimal Form:

$2.82842712 \dots$

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