Question

root 2-1 / root 2+1 = a +b root 2
Find a and b

Answer 1

rationalising the denominator

$\frac{ \sqrt{2} - 1 }{ \sqrt{2} + 1 } = \frac{( \sqrt{2} - 1)( \sqrt{2} - 1) }{( \sqrt{2} + 1)( \sqrt{2} - 1) }$

(√2-1)² /(√2)²-(1)² = 2+1-2√2/2-1

3-2√2/1 = a+b√2

on comparing we get,

a = 3 and b = -2

hope it helps you

Answer 2

I hope it's is helpful for you ok...............