The conjugate of the given complex number is:
[tex]2+8i[/tex]
We know that any complex number is written in the form of:
[tex]z=a+ib[/tex]
where a and b are real numbers.
The conjugate of the complex number is given by:
[tex]\bar z=\bar {a+ib}\\\\i.e.\\\\\bar z=a-ib[/tex]
Here we are given that:
We have a complex number such that the real part of a complex number is 2 and it's imaginary part is -8.
i.e.
a=2 and b= -8
i.e. the complex number is:
[tex]z=2+(-8)i[/tex]
Hence, the conjugate of this number is:
[tex]\bar z=2-(-8)i\\\\i.e.\\\\\bar z=2+8i[/tex]
