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If `a =( 4sqrt(6))/(sqrt(2)+sqrt(3))` then the value of `(a+2sqrt(2))/(a-2sqrt(2))+(a+2sqrt(3))/(a-2sqrt(3))` |
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Answer» Correct Answer - 2 If `x= (4sqrt(6))/(sqrt(2)+sqrt(3))` then ………… `x = (4sqrt(6))/(sqrt(2)+sqrt(3))` , `:. (x)/(2sqrt(2)) = (2sqrt(3))/(sqrt(3)+sqrt(3))` using `C-D` rule `(x+2sqrt(2))/(x-2sqrt(2)) = (3sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))` ……… (1) Also `(x)/(2sqrt(3)) = (2sqrt(2))/(sqrt(2)+sqrt(3))` `implies (x+2sqrt(3))/(x-2sqrt(3)) = (3sqrt(2)+sqrt(3))/(sqrt(2)-sqrt(3))/(sqrt(2)-sqrt(3))` ........ (2) `(x+2sqrt(2))/(x-2sqrt(2))+(x+2sqrt(3))/(x-2sqrt(3)) = 2` |
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