Question

By definition, |a + bi| =

Answer 1

Answer:

|z| = |a + ib| = $\sqrt{a^{2} + b^{2}}$.

Step-by-step explanation:

By the definition of complex numbers the modulus of any complex number z = x + iy is given by |z| = |x + iy| = $\sqrt{x^{2} + y^{2}}$.

Say for example, z = 3 + 4i is a complex number then

|z| = |3 - 4i| = $\sqrt{3^{2} + 4^{2}} = 5$

In a complex plane modulus of a complex number z = x + iy means the distance of the point (x, iy) from the origin. (Answer)