1.

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

Answer» Correct Answer - B
`x=3+2sqrt(2)`
`x=2+1+2sqrt(2)=(sqrt(2)+1)^(2)`
`sqrt(x)=sqrt(2)+1`
`1/(sqrt(x))=1/(sqrt(2)+1)`
`implies1/(sqrt(x))=1/(sqrt(2)+1)xx(sqrt(2)-1)/(sqrt(2)-1)`
हर का ‌परिमेय करने पर
`=(sqrt(2)-1)/1=sqrt(2)-1`
`:. sqrt(x)-1/(sqrt(x))`
`=sqrt(2)+1-(sqrt(2)-1)`
`=sqrt(2)+1-sqrt(2)+1=2`


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