Divide Complex Numbers - Calculator







Divide Complex Numbers - Calculator


An easy to use calculator that divides two complex numbers.

Let w and z be two complex numbers such that w = a + ib and z = A + iB. The division of w by z is based on multiplying numerator and denominator by the complex conjugate of the denominator:

w / z = (a + ib) / (A + iB)

= (a + ib)(A - iB) / (A + iB)(A - iB)

= [ a A + b B + i(b A - a B) ] / [A 2 + B 2]

= ( a A + b B )/ [A 2 + B 2] + i (b A - a B) / [A 2 + B 2]

How to use the calculator

Enter the real and imaginary parts (as an integer, a decimal or a fraction) of two complex numbers z and w and press "enter".



w = + i

z = + i



w / z =



w / z = + i (exact value)



w / z = + i (approximate value)

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