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यदि `x-sqrt(3)-sqrt(2)=0` और `y-sqrt(3)+sqrt(2)=0` है तो `(x^(3)-20sqrt(2))-(y^(3)+2sqrt(2))` का मान क्या होगा?A. 2B. 3C. 1D. 0 |
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Answer» Correct Answer - D According to the question `x=sqrt(3)+sqrt(2)` `y=sqrt(3)-sqrt(2)` `(x^(3)-20sqrt(2))-(y^(2)+2sqrt(2))` `=[(sqrt(3)+sqrt(2))^(2)-20sqrt(2)-(sqrt(3)-` `sqrt(2))^(3)-2sqrt(2)` `=3sqrt(3)+2sqrt(2)+9sqrt(2)+6sqrt(3)-` `20sqrt(2)-3sqrt(3)+2sqrt(2)+9sqrt(2)-` `6sqrt(3)-2sqrt(2)` `=9sqrt(3)-9sqrt(2)-9sqrt(3)+9sqrt(2)=0` |
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