Question

Rationalise the denominator 5+√5/5-√5​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$\frac{(5 + \sqrt{5}) }{(5 - \sqrt{5}) } = \frac{ ({5 + \sqrt{5}) }^{2} }{(5 + \sqrt{5})(5 - \sqrt{5})} \\ = \frac{(25 + 5 + 10 \sqrt{5}) }{(25 - 5)} \\ = \frac{30 + 10 \sqrt{5} }{20} \\ = \frac{3 + \sqrt{5} }{2}$

(3+√5)/2 is the right answer.