Answer:
|z| = |a + ib| = [tex]\sqrt{a^{2} + b^{2}}[/tex].
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| = [tex]\sqrt{x^{2} + y^{2}}[/tex].
Say for example, z = 3 + 4i is a complex number then
|z| = |3 - 4i| = [tex]\sqrt{3^{2} + 4^{2}} = 5[/tex]
In a complex plane modulus of a complex number z = x + iy means the distance of the point (x, iy) from the origin. (Answer)
