Question

Simplify 5 + Root 3 / 7 - 4 root 3

Answer 1

Answer:

$\frac{5 + \sqrt{3} }{7 - 4 \sqrt{3} } \\ = \frac{(5 + \sqrt{3})(7 + 4 \sqrt{3}) }{(7 - 4 \sqrt{3} )(7 + 4 \sqrt{3}) } \\ = \frac{35 + 20 \sqrt{3} + 7 \sqrt{3} + 12}{49 - 48} \\ = \frac{47 + 27 \sqrt{3} }{1} \\ = 47 + 27 \sqrt{3}$

hope it helps