Answer:
Option A) [tex]\sqrt{x-6} +3[/tex]
Step-by-step explanation:
Given is an expression in x as
[tex]\sqrt{x-6} -3[/tex]
This will be real only for x>=6
(That is given already)
Now to find conjugate
Since x-6 is inside root sign, we can take this as one term.
Next term is -3. To find conjugate we write the root sign term as it is and change the sign of next term from negative to positive
i.e. -3 becomes +3
Hence conjugate would be
[tex]\sqrt{x-6} +3[/tex]
Hence option A is right
