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`((2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)-1)/(sqrt(3)+1))` का सरलीकरण हैA. `2-sqrt(3)`B. `2+sqrt(3)`C. `16-sqrt(3)`D. `40-sqrt(3)` |
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Answer» Correct Answer - C `((2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)-1)/(sqrt(3)+1))` `(((2+sqrt(3))^(2)+(2-sqrt(3))^(2))/((2-sqrt(3))(2+sqrt(3)))+(sqrt(3)-1)/(sqrt(3)+1)xx(sqrt(3)-1)/(sqrt(3)-1))` `implies((4+3+4sqrt(3)+4+3-4sqrt(3))/(4-3)+((sqrt(3)-1)^(2))/(3-1))` `implies (14+(3+1-2sqrt(3))/2)` `implies14+(2(2-sqrt(3)))/2` `implies14+2-sqrt(3)=16-sqrt(3)` |
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