Answer: [tex]2+i5,\ 29[/tex]
Step-by-step explanation:
Given
Complex number is [tex]2-i5[/tex]
Its conjugate is obtained by changing the sign of the original number i.e. [tex]2+i5[/tex]
The product of the two numbers is
[tex]\Rightarrow (2-i5)(2+i5)=2^2-(5i)^2\quad \quad [(x+y)(x-y)=x^2-y^2]\\\\\Rightarrow (2-i5)(2+i5)=4-25i^2\\\\\Rightarrow (2-i5)(2+i5)=4+25=29[/tex]
