Question

If x = 3 + 2√2 , find the value of x + 1/x

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Answer 1

Answer:

x = 3+2√2

1/x = 1/3+2√2

x+1/x = 3+2√2 + 1/3+2√2 = (3+2√2)²+1 / 3+2√2 =

9+8+12√2+1 / 3+2√2 = 18+12√2 / 3+2√2

6(3+2√2) / 3+2√2 = 6