Question

rationalize and denominator 1\8+3√5 please give me answer​

Answer 1

(8-3√5)/19 is the correct answer.

Answer 2

$\huge\color{cyan}\boxed{\colorbox{black}{\sf{ANSWER ❤}}}$

$\frac{1}{8 + 3 \sqrt{5} }$

$= \frac{1(8 - 3 \sqrt{5} )}{(8 + 3 \sqrt{5})(8 - 3 \sqrt{5} )}$

$= \frac{8 - 3 \sqrt{5} }{64 - 45}$

$= \frac{8 - 3 \sqrt{5} }{19 }$

*BIG BRAIN*