Question

Rationalise the denominator—
7+3root5/7-3root5

Answer 1

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