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.
-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?
-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?