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यदि `x=3+2sqrt(2)` है तो `x^(2)+1/(x^(2))` का मान क्या होगा?A. 36B. 30C. 32D. 34

Answer» Correct Answer - D
`x=3+2sqrt(2)`
`x^(2)=(3+2sqrt(2))^(2)`
(Squaring both sides)
`=9+8+12sqrt(2)=17+12sqrt(2)`
`1/(x^(2))=1/(17+12sqrt(2))xx(17-12sqrt(2))/(17-12sqrt(2))`
`= 17-12sqrt(2)`
`:. 1/(x^(2))+x^(2)`
`= 17+12sqrt(2)+17-12sqrt(2)=34`


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