Question

Find the conjugate and product of

2-i5 ​

Answer 1

Answer:
`2+i5,\ 29`

Explanation:

Given

Complex number is
`2-i5`

Its conjugate is obtained by changing the sign of the original number i.e.
`2+i5`

The product of the two numbers is

`\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`