SOLUTION: Simplify {{{(3/4)*sqrt(-144)}}}

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Question 129342: Simplify

%283%2F4%29%2Asqrt%28-144%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2F4%29%2Asqrt%28-144%29 Start with the given expression

%283%2F4%29%2Asqrt%28-1%2A144%29 Factor -144 into -1%2A144


%283%2F4%29%2Asqrt%28-1%29%2Asqrt%28144%29 Break up the square root


%283%2F4%29%2Ai%2Asqrt%28144%29 Replace sqrt%28-1%29 with i. Remember, sqrt%28-1%29=i


%283%2F4%29%2Ai%2A12 Take the square root of 144 to get 12


9%2Ai Multiply 12 and 3%2F4 to get %2812%2F1%29%2A%283%2F4%29=36%2F4=9


So %283%2F4%29%2Asqrt%28-144%29=9i