How do you do this algebra problem
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How do you do this algebra problem

[From: ] [author: ] [Date: 11-08-31] [Hit: ]
......
I'm having a bit of a brain fart here, the problem is that I need to change this:

-2 / (1-i*sqrt(3))

into this:

(1-i*sqrt(3)) / -2

I know there's a basic maneuver to flip that division statement, but having trouble thinking of it. Best answer to first answerer that explains the basic steps to accomplish.

-
Rationalize the denominator by multiplying by its conjugate; you must multiply the numerator by this also to form a fraction equivalent to the original:

-2 / (1-i*sqrt(3)) * (1+isqrt3)/(1+isqrt3) = -2*(1+isqrt3)/(1-i*sqrt(3)(1+isqrt3) = -2*(1+isqrt3)/(1-(isqrt3)^2) = -2*(1+isqrt3)/(1-i^2sqrt9) = -2*(1+isqrt3)/(1-(-1*3)) = -2*(1+isqrt3)/(1+3) = -2*(1+isqrt3)/4 = (1+isqrt3)/-2

is my answer.

Did you miscopy something?
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