Question

if 3 +√7/3-√7=a+b√7,find the value of and b

Answer 1

hello...



please refer the above attachment...


thank you...

☺

Answer 2

●••••••••• Hello User •••••••••●
《《 Here is your answer 》》
________________________

$\frac{3 + \sqrt{7} }{3 - \sqrt{7} } = a + b \sqrt{7} \\ \\ lhs. \\ \\ = \frac{3 + \sqrt{7} }{3 - \sqrt{7} } \times \frac{3 + \sqrt{7} }{3 + \sqrt{7} } \\ \\ = \frac{ {(3 + \sqrt{7} )}^{2} }{ {(3)}^{2} - {( \sqrt{7}) }^{2} } \\ \\ = \frac{9 + 7 + 6 \sqrt{7} }{9 - 7} \\ \\ = \frac{16 + 6 \sqrt{7} }{2} \\ \\ = \frac{2 \times (8 + 3 \sqrt{7}) }{2} \\ \\ = 8 + 3 \sqrt{7} \\ \\ comparing \: lhs \: and \: rhs \\ \\ 8 + 3 \sqrt{7} = a + b \sqrt{7} \\ \\ a = 8 \: \: \: \: and \: \: \: \: b = 3$
___________________________

《《Hope it may helpful to you》》

○○○ @ajaman ○○○

●•••••• ☆ Brainly Star ☆ ••••••●