Question

Please help me..... ​

Answer 1

$\frac{4 + 3 \sqrt{5} }{4 - 3 \sqrt{5} } \times \frac{4 + 3\sqrt{5} }{4 + 3 \sqrt{5} } \\ \frac{ {(4 + 3 \sqrt{5} )}^{2} }{ {(4)}^{2} - {(3 \sqrt{5)} }^{2} } \\ \frac{16 + 9 \times 5 + 2.4.3 \sqrt{5} }{16 - 9 \times 5} \\ \frac{16 + 45 + 24 \sqrt{5} }{16 - 45} \\ \frac{61 + 24 \sqrt{5} }{ - 29} = a + b \sqrt{5} \\ a = \frac{ - 61}{29} \: \: \: \: b \: \: \: = \frac{ - 24 \sqrt{5} }{29}$

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