Respuesta :

For this exercise it is important to know that a "Conjugate" is.

By definition, a Conjugate is a binomial whose second term has sign that is opposite of the second term of the other binomial. For example, for:

[tex]a+b[/tex]

Its conjugate is the following:

[tex]a-b[/tex]

In this case you have the following expression:

[tex]5-\sqrt[]{x+4}[/tex]

Then, applying the explained above, you get that its conjugate is:

[tex]5+\sqrt[]{x+4}[/tex]

The answer is: Option D.