Question

Solve 1/( 5 −2√3) +1 /( 5+2√3)

Answer 1

Answer:

$\frac{1}{5 - 2 \sqrt{3} } + \frac{1}{5 + 2 \sqrt{3} } \\ = \frac{5 + 2 \sqrt{3 } + 5 - 2 \sqrt{3} }{(5 - 2 \sqrt{3})(5 + 2 \sqrt{3}) } \\ = \frac{10}{ {5}^{2} - {(2 \sqrt{3}) }^{2} } \\ = \frac{10}{25 - 12} \\ = \frac{10}{13}$