1.

यदि `x=root(3)(2+sqrt(3))` है तो `x^(3)+1/(x^(3))` का मान ज्ञात करें।A. 8B. 9C. 2D. 4

Answer» Correct Answer - D
`x=root(3)(2+sqrt(3))`
`x^(3)+2+sqrt(3)`
`1/(x^(3))=1/(2+sqrt(3))xx(2-sqrt(3))/(2-sqrt(3))`
हर का परिमेयकरण
`implies (2-sqrt(3))/(4-3)=2-sqrt(3)`
`:. x^(3)+1/(x^(3))+2+sqrt(3)+2-sqrt(3)=4`


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