Question

rationalising the denominator 1/5+2√3...plzzzz​

Answer 1

Answer:

$\frac{1}{5} + 2 \sqrt{3} \\ \\ = \frac{1 + 10 \sqrt{3} }{5}$

Answer 2

Answer

$\frac{5 - 2 \sqrt{3} }{13}$

Steps

$\frac{1}{5 + 2 \sqrt{3} }$

Multiply the Numerator and denominator by 5-2√ 3

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