Math, asked by riturajsingh0011, 1 year ago

simplify the following by rationalising the denominator.

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Answered by zairawasim2000
1
 \frac{1}{5 - 2 \sqrt{3} } + \frac{1}{5 + 2 \sqrt{3} }
( \frac{1(5 + 2 \sqrt{3)} }{(5 - 2 \sqrt{3)} (5 + 2 \sqrt{3)} } = \frac{5 + 2 \sqrt{3} }{25 - 12 } = \frac{5 + 2 \sqrt{3} }{13} ) + (\frac{1(5 - 2 \sqrt{3)} }{(5 + 2 \sqrt{3)}(5 - 2 \sqrt{3}) } = \frac{5 - 2 \sqrt{3} }{25 - 12} = \frac{5 - 2 \sqrt{3} }{13} )
 \frac{5 + 2 \sqrt{3} }{13} + \frac{5 - 2 \sqrt{3} }{13} = \frac{5 + 2 \sqrt{3} + 5 - 2 \sqrt{3} }{13}
 = > \frac{10}{13}

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