1.

यदि `x=(sqrt(2)+1)^(1/3)` है तो `(x^(3)-1/(x^(3)))` का मान क्या होगा?A. `0`B. `-sqrt(2)`C. `+2`D. `3sqrt(2)`

Answer» Correct Answer - C
`x=(sqrt(2)+1)^(1//3)`
Take cube on both sides
`impliesx^(3)=sqrt(2)+1`
हर का प‌रिमेयकरण
`implies1/(x^(3))=1/(sqrt(2)+1)xx(sqrt(2)-1)/(sqrt(2)-1)`
`= (sqrt(2)-1)/1`
`1/(x^(3))=sqrt(2)-1`
`implies x^(3)-1/(x^(3))=sqrt(2)+1-sqrt(2)+1=2`


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