###
Modulus of a Complex number

For, **z = a + bi **,

the modulus is
**|z| = sqrt(a^2 + b^2)**
e.g,
**z = (1 + 2i)^2**
**z = ****(1 + 2i) . ****(1 + 2i)**
** = 1 + 2i + 2i + 4i^2 **(remember that, **i^2 = -1** )
** = 1 + 4i + 4(-1)**
** = -3 + 4i**

**|z| = sqrt( -3^2 + 4^2)**
** = sqrt(9 + 16)**
** = sqrt(25)**
**|z| = 5**

## No comments:

## Post a Comment