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24 January, 13:41

If a = √ 2+1, then find (a-1/a) ^2

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Answers (2)
  1. 24 January, 13:43
    0
    Answer: (a-1/a) ^2 = 4 where a = √2 + 1

    Step-by-step explanation:

    Given a = √2 + 1

    Now a - 1 / a = (√2+1) - 1 / (√2+1)

    Multiplying and dividing by √2+1

    = ((√2+1) ² - 1) / (√2+1)

    = (2+1 + 2√2-1) / (√2+1) [ (a+b) ² = a² + b² + 2ab]

    = (2 + 2√2) / (√2+1)

    = 2 (√2+1) / (√2+1)

    =2

    Now we have to find (a-1/a) ^2

    i. e. 2^2

    =2²

    =4

    So (a-1/a) ^2 = 4
  2. 24 January, 14:06
    0
    The correct answer is 4.
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