Question

Simplify by rationalising the denominator 7+3√5/7-3√5

Answer 1

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Answer 2

$\bf \frac{7 + 3 \sqrt{5} }{7 - 3 \sqrt{5} } \\ \\ \bf \frac{7 + 3 \sqrt{5} }{7 - 3 \sqrt{5} } \times \bf \frac{7 + 3 \sqrt{5} }{7 + 3 \sqrt{5} } \\ \\ \bf \frac{(7 + 3 \sqrt{5} )^{2} }{(7)^{2} - (3 \sqrt{5} )^{2} } \\ \\ \bf \frac{49 + 45 + 42 \sqrt{5} }{49- 45 } \\ \\ \bf \frac{94+ 42\sqrt{5} }{4} \\ \\ \bf \frac{47+ 21\sqrt{5} }{2}$