Finite Math Examples

$d = \sqrt{{(2 + 4)}^{2} + {(6 - 3)}^{2}}$

Step 1

Add $2$ and $4$ .

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

Step 2

Raise $6$ to the power of $2$ .

$d = \sqrt{36 + {(6 - 3)}^{2}}$

Step 3

Subtract $3$ from $6$ .

$d = \sqrt{36 + 3^{2}}$

Step 4

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

$d = \sqrt{36 + 9}$

Step 5

Add $36$ and $9$ .

$d = \sqrt{45}$

Step 6

Rewrite $45$ as $3^{2} \cdot 5$ .

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Step 6.1

Factor $9$ out of $45$ .

$d = \sqrt{9 (5)}$

Step 6.2

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

$d = \sqrt{3^{2} \cdot 5}$

$d = \sqrt{3^{2} \cdot 5}$

Step 7

Pull terms out from under the radical.

$d = 3 \sqrt{5}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$d = 3 \sqrt{5}$

Decimal Form:

$d = 6.70820393 \dots$

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