Question

4. Find rational numbers a and b such that ✓2-1/✓2+1=a+b✓2​

Answer 1

√2-1/√2+1×√2-1/√2-1=a+b√2

(√2-1)²/2-1=a+b√2

√2²-√1²+2×√2×√1=a+b√2

2-1+2√2=a+b√2

1+2√2=a+b√2

hence,

a=1,b=2

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