InterviewSolution
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InterviewSolution
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यदि `x=7-4sqrt(3)` है तो `sqrt(x)+1/(sqrt(x))` किसके बराबर है?A. `1`B. `2`C. `3`D. `4` |
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Answer» Correct Answer - D `x=7-4sqrt(3)` `=4+3-sqrt(3)` `=(2)^(2)+(sqrt(3))^(2)-2xx2sqrt(3)` `=(2-sqrt(3))^(2)` `:. [(a^(2)+b)^(2)-2ab=(a-b)^(2)]` `impliesx=(2-sqrt(3))^(2)` `sqrt(x)=2-sqrt(3)` `1/(sqrt(x))=1/(2-sqrt(3))xx(2+sqrt(3))/(2+sqrt(3))` `=2+sqrt(3)` `:. sqrt(x)+1/(sqrt(x))` `=2-sqrt(3)+2+sqrt(3)=4` |
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