1.

यदि `(a+1/a)^(2)=3` है तो `a^(3)+1/(a^(3))` का मान बताएं?

Answer» Correct Answer - A
`(a+1/a)^(2)=3`
`a+1/a=sqrt(3)`
Taking cube on both sides
`implies a^(3)+1/(a^(3))+3(a)xx(1/a)xx(a+1/a)`
`=3sqrt(3)`
`implies a^(3)+1/(a^(3))+3sqrt(3)=sqrt(3)`
`a^(3)+1/(a^(3))=3sqrt(3)-3sqrt(3)=0`


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