Question

Rationalise this question

Answer 1

$\frac{ \sqrt{3} + 1 }{ \sqrt{3} - 1} \\ multiplying \: nr. \: and \: deno. \\ by \: \sqrt{3} + 1 \\ then \\ \frac{ \sqrt{3} + 1}{ \sqrt{3} - 1} \times \frac{ \sqrt{3} + 1 }{ \sqrt{3} + 1} \\ \frac{3 + 1 + 2 \sqrt{3} }{3 - 1} \\ \frac{4 + 2 \sqrt{3} }{2} \\ \frac{(2)(2 + \sqrt{3)} }{2} \\ 2 + \sqrt{3}$
so

a=2
b=1

Answer 2

There's your Answer, hope it helps