Simplify 9/(7+ square root of 3)

$\frac{9}{7 + \sqrt{3}}$

Multiply $\frac{9}{7 + \sqrt{3}}$ by $\frac{7 - \sqrt{3}}{7 - \sqrt{3}}$ .

$\frac{9}{7 + \sqrt{3}} \cdot \frac{7 - \sqrt{3}}{7 - \sqrt{3}}$

Multiply $\frac{9}{7 + \sqrt{3}}$ and $\frac{7 - \sqrt{3}}{7 - \sqrt{3}}$ .

$\frac{9 (7 - \sqrt{3})}{(7 + \sqrt{3}) (7 - \sqrt{3})}$

Expand the denominator using the FOIL method.

$\frac{9 (7 - \sqrt{3})}{49 - 7 \sqrt{3} + \sqrt{3} \cdot 7 - {\sqrt{3}}^{2}}$

Simplify.

$\frac{9 (7 - \sqrt{3})}{46}$

The result can be shown in multiple forms.

Exact Form:

$\frac{9 (7 - \sqrt{3})}{46}$

Decimal Form:

$1.03068571 \dots$

Simplify 9/(7+ square root of 3)

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