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If a=2+√3, then a^2+1/a^2=?
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Given:-- a= 2+✓3
Find:---- a^2 +1/a^2
Solution:---
a=2+✓3
1/a = 2-✓3
a^2+1/a^2
=(a+1/a)^2 -2a×1/a
=(2+✓3+2-✓3)^2-2
=4^2-2
= 16-2
= 14[Ans.]
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