Question

if 3 + under root 7 divided by 3 minus under root 7 is equal to a + b under root 7 then( a, b) is equal to

Answer 1

Solution:-

$\frac{3 + \sqrt{7} }{3 - \sqrt{7} } = a + b \sqrt{7} \\ by \: lhs \\ \frac{3 + \sqrt{7} }{3 - \sqrt{7} } \times \frac{ 3 + \sqrt{7} }{3 + \sqrt{7} } \\ \frac{9 + 7 + 6 \sqrt{7} }{9 - 7} \\ \frac{16 + 6 \sqrt{7} }{ 2} \\ {8 + 3 \sqrt{7} } = a + b \sqrt{7} \\ a = 8 \\ b = 3$