1.

यदि `x=1-sqrt(2),` है तो `(x-1/x)^(3)` का मान क्या होगा?A. -84B. 8C. `2sqrt(2)`D. 1

Answer» Correct Answer - B
`x=1-sqrt(2)`
`1/x=1/(1-sqrt(2))xx(1+sqrt(2))/(1+sqrt(2))`
हर का परिमेयकरण
`=(1+sqrt(2))/(1-2)=(1+sqrt(2))/(-1)=-(sqrt(2)+1)`
`:. x-1/x=1-sqrt(2)+sqrt(2)+1=2`
Take cube
`(x-1/x)^(3)=(2)^(3)implies(x-1/x)^(3)=8`


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