Evaluate 4/(8- square root of 7)

$\frac{4}{8 - \sqrt{7}}$

Multiply $\frac{4}{8 - \sqrt{7}}$ by $\frac{8 + \sqrt{7}}{8 + \sqrt{7}}$ .

$\frac{4}{8 - \sqrt{7}} \cdot \frac{8 + \sqrt{7}}{8 + \sqrt{7}}$

Multiply $\frac{4}{8 - \sqrt{7}}$ and $\frac{8 + \sqrt{7}}{8 + \sqrt{7}}$ .

$\frac{4 (8 + \sqrt{7})}{(8 - \sqrt{7}) (8 + \sqrt{7})}$

Expand the denominator using the FOIL method.

$\frac{4 (8 + \sqrt{7})}{64 + 8 \sqrt{7} - 8 \sqrt{7} - {\sqrt{7}}^{2}}$

Simplify.

$\frac{4 (8 + \sqrt{7})}{57}$

The result can be shown in multiple forms.

Exact Form:

$\frac{4 (8 + \sqrt{7})}{57}$

Decimal Form:

$0.74707026 \dots$

Evaluate 4/(8- square root of 7)

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