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Question

if `(5 + 2sqrt(3))/(7 + 4sqrt(3))` =`  a + bsqrt(3)` , them :


Options:
A .  a = - 11, b = - 6
B .  a = - 11, b = 6
C .  a = 11, b = - 6
D .  a = 6, b = 11
Answer: Option C

`a + bsqrt(3)` =  `(5 + 2sqrt(3))/(7 + 4sqrt(3))` x `(7 -  4sqrt(3))/(7 - 4sqrt(3))`

`(35 - 20sqrt(3) + 14sqrt(3) - 24)/((7)^2 - (4sqrt(3))^2)` =  `(11 - 6sqrt(3))/(49 - 48)` =  `11 - 6sqrt(3)`

`:.`  a = 11, b = - 6




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