Question

which choice is the conjugate of the expression below when x >= 6?
sqrt x-6-3

A.sqrt x-6+3
B.sqrt x+6+3
C.sqrt x-6-3
D.sqrt x+6-3

Answer 1

Answer:

Option A) $\sqrt{x-6} +3$

Step-by-step explanation:

Given is an expression in x as

$\sqrt{x-6} -3$

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

$\sqrt{x-6} +3$

Hence option A is right

Answer 2

Answer:

A.sqrt x-6+3

Step-by-step explanation:

A p e x