Question

rationalise the denominator of 1/5+2√3

Answer 1

Hey Buddy !☺

$\frac{1}{5 + 2 \sqrt{3} } \\ \\ multiplting \: by \: 5 - 2 \sqrt{3} \\ in \: denominator \: and \: denominator \\ \\ \therefore \\ \frac{1}{5 + 2\sqrt{3} } \times \frac{5 - 2 \sqrt{3} }{5 - 2 \sqrt{3} } \\ \\ = \frac{5 - 2 \sqrt{3} }{ {5}^{2} - ({2 \sqrt{3}) }^{2} } \\ \\ = \frac{5 - 2 \sqrt{3} }{25 - 12} \\ \\ = \frac{5 - 2 \sqrt{3} }{13}$

$\huge\mathcal{BRAINLIEST}$

Answer 2

I hope it helps you...

plz mark it as a branilist answer