Question

Rationalise the denominator
1/(3+√5)​

Answer 1

$\textit{\underline{\underline{\large{\pink{Step by step Explanation:-}}}}}$

$\frac{1}{3 + \sqrt{5} } = \frac{1}{3 + \sqrt{5} } \times \frac{3 - \sqrt{5} }{3 - \sqrt{5} } \\ = \frac{3 - \sqrt{5} }{3 {}^{2} - ( \sqrt{5}) {}^{2} } = \frac{3 - \sqrt{5} }{9 - 5} \\ = \frac{3 - \sqrt{5} }{4} \: ans..$

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Answer 2

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