Precalculus Examples

$a = \sqrt{8^{2} - 3^{2}}$

Step 1

Raise $8$ to the power of $2$ .

$a = \sqrt{64 - 3^{2}}$

Step 2

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

$a = \sqrt{64 - 1 \cdot 9}$

Step 3

Multiply $- 1$ by $9$ .

$a = \sqrt{64 - 9}$

Step 4

Subtract $9$ from $64$ .

$a = \sqrt{55}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$a = \sqrt{55}$

Decimal Form:

$a = 7.41619848 \dots$

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