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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)` |
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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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