Question

If a = √2+1 , Find the value of (a-1/a)

Answer 1

Answer:

a= √2+1

a-1/a

√2+1-1/√2+1

√2/√2+1

rationalize the denominator

√2(√2-1)/(√2+1)(√2-1)

using (a-b )(a+b)=a²-b²

2-√2/(√2)²-(1)²

2-√2/2-1

2-√2/1

2-√2=a-1/a

Answer 2

Answer:

2 - √2

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