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`(4)/(sqrt(10-2sqrt(21)))`=______.A. `(1)/(4)(sqrt(7)+sqrt(3))`B. `(1)/(4)(sqrt(7)-sqrt(3))`C. `sqrt()7+sqrt()3`D. `sqrt(7)+sqrt(3)` |
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Answer» Correct Answer - C `(4)/(sqrt(10-2sqrt(21)))=(4)/(sqrt((sqrt(7))^(2)+(sqrt(3))^(2)-2sqrt(7xx3)))` `=(4)/(sqrt((sqrt(7)-sqrt(3))^(2)))=(4)/(sqrt(7)-sqrt(3))` `(4(sqrt(7)+sqrt(3)))/((sqrt(7)-sqrt(3))(sqrt(7)+sqrt(3)))` `(4(sqrt(7)+sqrt(3)))/(4)=sqrt(7)+sqrt(3)` |
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