SOLUTION: 3{{{sqrt-5}}}({{{sqrt-3}}}+4{{{sqrt-5}}}

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Question 107338: 3sqrt-5(sqrt-3+4sqrt-5
Answer by MathLover1(3376) About Me  (Show Source):
You can put this solution on YOUR website!

An imaginary number is represented as ai where a is any positive or negative number, and i is a special+ imaginryconstant+whose square equals -1 (that means i%2Ai+=+-1).
So, we may then take the square root out of any negative number
sqrt%28-x%29+=+sqrt%28x%29%2Asqrt%28-1%29+=+sqrt%28x%29%2Ai.

3sqrt%28-5%29%28sqrt%28-3%29%2B+4sqrt%28-5%29%29
3sqrt%285%29sqrt%28-1%29%28sqrt%283%29sqrt%28-1%29%2B+4sqrt%285%29sqrt%28-1%29%29
3sqrt%285%29%2Ai%28sqrt%283%29%2Ai%2B+4sqrt%285%29%2Ai%29
3sqrt%285%29%2Ai%2Ai%28sqrt%283%29%2B+4sqrt%285%29%29
3sqrt%285%29%2A%28-1%29%28sqrt%283%29%2B+4sqrt%285%29%29
-3sqrt%285%29%28sqrt%283%29%2B+4sqrt%285%29%29

%28-%283sqrt%285%29%29%28sqrt%283%29%29%29%2B+%28-3sqrt%285%294sqrt%285%29%29
%28-%283sqrt%285%29%29%28sqrt%283%29%29%29%2B+%28-12sqrt%285%29sqrt%285%29%29
%28-%283sqrt%285%29%29%28sqrt%283%29%29%29%2B+%28-12sqrt%285%29%5E2%29
%28-%283sqrt%285%29%29%28sqrt%283%29%29%29%2B+%28-12%2A5%29



now, you can plug in values for sqrt%285%29 and sqrt%283%29 to find final result