SOLUTION: (3- square root of -50)/15

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Question 819959: (3- square root of -50)/15
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%283-+sqrt%28-50%29%29%2F15
As always, first deal with the "-" in the square root:
%283-+sqrt%28-1%2A50%29%29%2F15
%283-+sqrt%28-1%29%2Asqrt%2850%29%29%2F15
%283-+i%2Asqrt%2850%29%29%2F15
Then simplify:
%283-+i%2Asqrt%2825%2A2%29%29%2F15
%283-+i%2Asqrt%2825%29%2Asqrt%282%29%29%2F15
%283-+i%2A5%2Asqrt%282%29%29%2F15
or
%283-+5i%2Asqrt%282%29%29%2F15
This maybe an acceptable answer.

But we may want it in standard a + bi form. First we'll write the subtraction as an addition:
%283%2B+%28-5i%2Asqrt%282%29%29%29%2F15
Split the fraction into two fractions:
3%2F15%2B+%28-5i%2Asqrt%282%29%29%2F15
Reducing the fractions:
1%2F5%2B+%28-i%2Asqrt%282%29%29%2F3
Factor out the "i":
1%2F5%2B+%28sqrt%282%29%2F3%29i