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b)
(3+2√3)/ (2√3-3) * (2√3+3)/(2√3+3) =
(3+2√3)(2√3+3) 6√3+9+4*3+6√3 12√3+21
--------------------- = ---------------------------= ------------------------ = 4√3+7
(2√3-3) (2√3+3) 12-9 3