Respuesta :

Answer:

[tex]7-\sqrt{2}i[/tex]

Step-by-step explanation:

Given number is [tex]7+\sqrt{2}i[/tex]. We need to find the complex conjugate of the given number.

We will use the general rule to find out the complex conjugate of the number.

The complex conjugate of [tex]a+bi[/tex] will be [tex]a-bi[/tex]

And the complex conjugate of [tex]7+\sqrt{2}i\ became\ 7-\sqrt{2}i[/tex]

So, the complex conjugate of [tex]7+\sqrt{2}i[/tex] is [tex]7-\sqrt{2}i[/tex]