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]