Question

What is the answer.1/5-2√3+1/5+2√3

Answer 1

the answer is 0. 4

hope its help

Answer 2

Hey friend,
Here is the answer you were looking for:
$( \frac{1}{5 - 2 \sqrt{3} } ) + ( \frac{1}{5 + 2 \sqrt{3} } ) \\ \\ rationalizing \: the \: denominator \\ \\ = ( \frac{1}{5 - 2 \sqrt{3} } ) \times ( \frac{5 + 2 \sqrt{3} }{5 + 2 \sqrt{3} } ) \\ + ( \frac{1}{5 + 2 \sqrt{3} } ) \times ( \frac{5 - 2 \sqrt{3} }{5 - 2 \sqrt{3} } ) \\ \\ = ( \frac{5 + 2 \sqrt{3} }{ {(5)}^{2} - {(2 \sqrt{3)} }^{2} } ) + ( \frac{5 - 2 \sqrt{3} }{ {(5)}^{2} - {(2 \sqrt{3)} }^{2} }) \\ (identity \: used = \: (a + b)(a - b) = {(a)}^{2} - {(b)}^{2} ) \\ \\ = ( \frac{5 + 2 \sqrt{3} }{25 - 12} ) + ( \frac{5 - 2 \sqrt{3} }{25 - 12} ) \\ \\ = \frac{5 + 2 \sqrt{3} + 5 - 2 \sqrt{3} }{13} \\ \\ = \frac{10}{13}$

Hope this helps!!!

@Mahak24

Thanks...
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