SOLUTION: express the reciprocal of -4 + √-50 in the form of (a+bi)? express the reciprocal of 5i in the form of (a+bi)?

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Question 926740: express the reciprocal of -4 + √-50 in the form of (a+bi)?
express the reciprocal of 5i in the form of (a+bi)?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
express the reciprocal of -4+%2B+sqrt%28-50%29 in the form of %28a%2Bbi%29:
1%2F%28-4+%2B+sqrt%28-50%29%29
%28-4+-+sqrt%28-50%29%29%2F%28%28-4+%2B+sqrt%28-50%29%29%28-4+-+sqrt%28-50%29%29%29
%28-4+-+sqrt%28-50%29%29%2F%28-4%29%5E2++-+%28sqrt%28-50%29%29%5E2%29
%28-4+-+sqrt%28-50%29%29%2F%2816+-%28-50%29%29
%28-4+-+5sqrt%282%29i%29%2F%2866%29
-4%2F66+-+5sqrt%282%29i%2F66
-2%2F33+%2B5sqrt%282%29i%2F66
-2%2F33+%2B5%28sqrt%282%29%29%5E2i%2F%2866sqrt%282%29%29
-2%2F33+%2B5%2Across%282%29%2Ai%2F%28cross%2866%2933sqrt%282%29%29
-2%2F33-5i%2F%2833sqrt%282%29%29


express the reciprocal of 5i in the form of %28a%2Bbi%29:
the reciprocal of 5i is: 1%2F5i