Algebra Examples

$\frac{\sqrt{11} + 2}{7}$

Multiply to rationalize the numerator.

$\frac{(\sqrt{11} + 2) (\sqrt{11} - 2)}{7 (\sqrt{11} - 2)}$

Simplify.

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Expand the numerator using the FOIL method.

$\frac{{\sqrt{11}}^{2} + \sqrt{11} \cdot - 2 + \sqrt{11} \cdot 2 - 4}{7 (\sqrt{11} - 2)}$

Simplify.

$\frac{7}{7 (\sqrt{11} - 2)}$

Apply the distributive property.

$\frac{7}{7 \sqrt{11} + 7 \cdot - 2}$

Multiply $7$ by $- 2$ .

$\frac{7}{7 \sqrt{11} - 14}$

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{7 \sqrt{11} - 14}$

Decimal Form:

$0.75951782 \dots$