SOLUTION: i need to solve 3 divided by the square root of 2 minus 5i I know you multiply by the opposite of the denominator but im stuck after that.

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Question 840850: i need to solve 3 divided by the square root of 2 minus 5i
I know you multiply by the opposite of the denominator but im stuck after that.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Do you mean this?
3%2F%28sqrt%282%29-5i%29

You do NOT "multiply by the opposite of the denominator". Multiply numerator and denominator by the conjugate of the denominator!

%283%2F%28sqrt%282%29-5i%29%29%28%28sqrt%282%29%2B5i%29%2F%28sqrt%282%29%2B5i%29%29----notice how this will produce difference of two squares.
3%28sqrt%282%29%2B5i%29%2F%282-25i%5E2%29
3%28sqrt%282%29%2B5i%29%2F%282%2B25%29 --------because i%2Ai=-1
3%28sqrt%282%29%2B5i%29%2F27
highlight%28%281%2F9%29sqrt%282%29%2B%285%2F27%29i%29