Question

rationalize the denominator 1 / 8 + 4 root 6

Answer 1

$\frac{1}{8+4 \sqrt{6} } \\ \\ \frac{8-4 \sqrt{6}}{(8+4 \sqrt{6})(8-4 \sqrt{6})} \\ \\ \frac{8-4 \sqrt{6}}{64-96} \\ \\ \frac{-(8+4 \sqrt{6})}{32} \\ \\ \frac{-2-\sqrt{6}}{16}$