Complex number conjugate, the real number are the same and the imaginary number has same magnitude but opposite in sign. You need the complex number conjugate to calculate the modulus. This modulus is needed when you are dividing two complex number.
(
+
i
)
(
+
i
)
= Product
+
i
+
i 2
= Product and remember i 2 = -1 hence 20 * -1 = -20
Product after simplifying the constant = + i
(
+
i
)
(
+
i
)
= Modulus
+
i
+
i 2
= Modulus
4 + (-25 x -1) = 4 + 25
Modulus of w =
i = √-1 i 2 = (-1) (1 / 2)* 2
i 2 = - 1
Given w = 2-5 i and z = 3 + 4 i
Solve for modulus of w and Find the quotient of z and w.
Solution: 
Using Python in web browser to solve this problem easily in simpliest form.
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