SOLUTION: Write the expression as a complex number in standard form: six minus i square roots of 2 divided by six plus i square roots of 2

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Question 162523: Write the expression as a complex number in standard form:
six minus i square roots of 2 divided by six plus i square roots of 2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
six minus i square roots of 2 divided by six plus i square roots of 2
:
%286+-+i%2Asqrt%282%29%29%2F%286+%2B+i%2Asqrt%282%29%29
Multiply by the conjugate of the denominator over itself
%286+-+i%2Asqrt%282%29%29%2F%286+%2B+i%2Asqrt%282%29%29 * %286+-+i%2Asqrt%282%29%29%2F%286+-+i%2Asqrt%282%29%29 = %2836+-+12i%2Asqrt%282%29+%2B+i%5E2%282%29%29%2F%2836+-+i%5E2%282%29%29 = %2836+-+12i%2Asqrt%282%29+%2B+%28-1%29%282%29%29%2F%2836+-+%28-1%29%282%29%29 = %2836+-+12i%2Asqrt%282%29+-+2%29%2F%2836+%2B+2%29 = %2834+-+12i%2Asqrt%282%29%29%2F38
reduce the fraction:
%2817+-+6i%2Asqrt%282%29%29%2F19