Question

If √2-1÷√2+1=a+b√2 then find the value of a and b

Answer 1

√2-1×1/√2+1=√2-1/√2+1
On rationalizing
(√2-1)(√2-1)/(√2+1)(√2-1)
(√2-1)²/ (√2)²- (1)²
(√2)²+(1)²-2√2 / 2 -1
2+1-2√2
3+2√2
a=3. b=2.