Question

If a = 2+ √ 3 then find the value of a²+1/a²​

Answer 1

Answer:

a^2 = (2+root3)(2+root3)

      = 4 + 3 + $4\sqrt{3}$

      = 7 + $4\sqrt{3}$

1/a^2 = 7 - $4\sqrt{3}$ ( By Rationalising )

Hence 7 + $4\sqrt{3}$ + 7 - $4\sqrt{3}$ = 7 + 0

= 7

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