Pre-Algebra Examples

$(\sqrt{8 + 3}) (\sqrt{8 - 3})$

Step 1

Combine using the product rule for radicals.

$\sqrt{(8 + 3) (8 - 3)}$

Step 2

Simplify the expression.

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Step 2.1

Add $8$ and $3$ .

$\sqrt{11 (8 - 3)}$

Step 2.2

Subtract $3$ from $8$ .

$\sqrt{11 \cdot 5}$

Step 2.3

Multiply $11$ by $5$ .

$\sqrt{55}$

$\sqrt{55}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{55}$

Decimal Form:

$7.41619848 \dots$

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