Question

Which of the following is the conjugate of the expression "6 + √(x+2)" when "x ≥ -2"?

A) "6 - √(x+2)"
B) "6 + √(x+2)"
C) "6 - √(6-x)"
D) "6 + √(6+x)"

Answer 1

The conjugate of '6 + √(x+2)' is '6 - √(x+2)', altering only the sign between the terms.

Step-by-step explanation:

The conjugate of a complex number or expression changes the sign between two terms in the expression. For the expression '6 + √(x+2)' with the condition 'x ≥ -2', the conjugate is '6 - √(x+2)'. This is because we take the original expression and change the sign of the square root term while keeping the real number part the same.