Question

If a=√2+1 find the value of (a-1/a)2​

Answer 1

Given: a = √2 + 1 1 a = 1 ( √ 2 + 1 ) 1a=1(2+1) = 1 ( √ 2 + 1 ) =1(2+1) x ( √ 2 − 1 ) ( √ 2 − 1 ) (2−1)(2−1) = ( √ 2 − 1 ) ( ( √ 2 ) 2 − ( 1 ) 2 ) =(2−1)((2)2−(1)2) = ( √ 2 − 1 ) 1 =(2−1)1 = √ 2 − 1 =2−1 Now, a − 1 a a−1a = (√2 + 1) – (√2 – 1) = √2 + 1 - √2 + 1 = 2

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Answer 2

Refer to the attached file