InterviewSolution
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InterviewSolution
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`(3+2sqrt(2))^(-3)+(3-2sqrt(2))^(-3)` का मान ज्ञात करें।A. 189B. 180C. 108D. 198 |
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Answer» Correct Answer - D `(3+2sqrt(2))^(-3)+(3-2sqrt(2))^(-3)` `implies(1/(3+2sqrt(2)))^(3)+(1/(3-2sqrt(2)))^(3)` `implies (1/((3-2sqrt(2)))xx(3+2sqrt(2))/(3+2sqrt(2)))^(3)+(1/((3+2sqrt(2)))xx(3-2sqrt(2))/(3-2sqrt(2)))^(3)` `implies ((3-2sqrt(2))/(9-8))^(3)+((3+2sqrt(2))/(9-8))^(3)` `implies(3-2sqrt(2))^(3)+(3+2sqrt(2))^(3)` `a=3-2sqrt(2)` `b=3+2sqrt(2)` `a^(3)+b^(3)implies(a+b)(a^(2)+b^(2)-ab)` `implies(3-2sqrt(2)+3+2sqrt(2))(17+17-1)` `implies (6)(33)` `implies 198` |
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