Algebra Examples

$\frac{2 - \sqrt{11}}{- 8}$

Step 1

Multiply to rationalize the numerator.

$\frac{(2 - \sqrt{11}) (2 + \sqrt{11})}{- 8 (2 + \sqrt{11})}$

Step 2

Simplify.

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Step 2.1

Expand the numerator using the FOIL method.

$\frac{4 + 2 \sqrt{11} - 2 \sqrt{11} - {\sqrt{11}}^{2}}{- 8 (2 + \sqrt{11})}$

Step 2.2

Simplify.

$\frac{- 7}{- 8 (2 + \sqrt{11})}$

Step 3

Apply the distributive property.

$\frac{- 7}{- 8 \cdot 2 - 8 \sqrt{11}}$

Step 4

Multiply $- 8$ by $2$ .

$\frac{- 7}{- 16 - 8 \sqrt{11}}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{- 7}{- 16 - 8 \sqrt{11}}$

Decimal Form:

$0.16457809 \dots$