1.

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

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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