Conjugate complex number

Introduction

= a-bi is the conjugate complex number of

= a+bi(a and b are real numbers.).
Now we consider conjugate complex number by using this applet !

Explanation about this applet

Step1,we consider .
is a real number.Why?
Consider this by using this applet.
Step2,3,we consider .
is a real number too.Why?
And consider ||.

Applet

Explanation of Applet by using a numetical formula