Question

If a = 2 + √3, then
find the value of a - 1/a

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Answer 1

a - 1/a

2 + √3 - 1/2 + √3

(2 + √3)^2 -1/2 + √3 (taking lcm)

4 + 3 +4√3 -1 /2 + √3

6 + 4√3/2 + √3

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