Pre-Algebra Examples

$\sqrt{{(36)}^{2} - {(22)}^{2}}$

Step 1

Raise $36$ to the power of $2$ .

$\sqrt{1296 - {(22)}^{2}}$

Step 2

Raise $22$ to the power of $2$ .

$\sqrt{1296 - 1 \cdot 484}$

Step 3

Multiply $- 1$ by $484$ .

$\sqrt{1296 - 484}$

Step 4

Subtract $484$ from $1296$ .

$\sqrt{812}$

Step 5

Rewrite $812$ as $2^{2} \cdot 203$ .

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Step 5.1

Factor $4$ out of $812$ .

$\sqrt{4 (203)}$

Step 5.2

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

$\sqrt{2^{2} \cdot 203}$

$\sqrt{2^{2} \cdot 203}$

Step 6

Pull terms out from under the radical.

$2 \sqrt{203}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{203}$

Decimal Form:

$28.49561369 \dots$

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