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If `x=(1)/(sqrt(3)+2)`, then `(x+(1)/(x))^(2)`=______A. 16B. 3C. 12D. 6 |
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Answer» Correct Answer - A Given that `x=(1)/(sqrt(3)+2)` `implies x=(2-sqrt(3))/((2+sqrt(3))(2-sqrt(3)))` `implies x=(2-sqrt(3))/(4-3)` `implies x=2-sqrt(3)` And `(1)/(x)=sqrt(3)+2` Now `(x+(1)/(x))^(2)=(2-sqrt(3)+sqrt(3)+2)^(2)` `=(4)^(2)=16` |
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