Question

7+3√5/3+√5-7-3√5/3-√5 Rationalisation​

Answer 1

Answer:

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Answer 2

$\frac{7 + 3 \sqrt{5} }{3 + \sqrt{5} } - \frac{7 - 3 \sqrt{5} }{3 - \sqrt{5} } \\ \\ = \frac{(7 + 3 \sqrt{5} )(3 - \sqrt{5}) - (7 - 3 \sqrt{5} )(3 + \sqrt{5} ) }{9 - 5} \\ \\ = \frac{21 - 7 \sqrt{5} + 9 \sqrt{5} - 15 - 21 - 7 \sqrt{5} + 9 \sqrt{5} + 15 }{4} \\ \\ = \frac{4 \sqrt{5} }{4} \\ \\ = \sqrt{5}$