Question

If a=√2+1 ,find the value of a a square+1/a square

Answer 1

Answer:

6

Step-by-step explanation:

a = √2 + 1

a² = (√2 + 1)²

    = 2 + 1 + 2√2

    = 3 + 2√2

1/a = 1 / √2+1

     = 1 / √2+1 * √2-1 / √2-1

     = √2 - 1

1/a² = (√2 - 1)²

      = 2 + 1 - 2√2)

      = 3 - 2√2

==: a² + 1/a²

==: 3 + 2√2 + 3 - 2√2

==:  6

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