1.

यदि `x=sqrt(2)+1` है तो `x^(4)-1//x^(4)` का मान कितना होगा?A. `8sqrt(2)`B. `18sqrt(2)`C. `6sqrt(2)`D. `24sqrt(2)`

Answer» Correct Answer - D
`x=sqrt(2)+1,1/x=sqrt(2)-1`
`x=1/x=2`
`x+1/x=2sqrt(2)`
`x^(2)+1/(x^(2))=6`
`x^(4)1/(x^(4))=(x^(2)-1/(x^(2)))(x^(2)+1/(x^(2)))`
`=(x-1/x)(x+1/x)(x^(2)+1/(x^(2)))`
`=2xx2sqrt(2)xx6=24sqrt(2)`


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