Final answer:
The correct conversion for the given demi-conditional and actuality operator, based on the properties of exponents and roots, is most likely A√→ B = A→ √B, where the square root is applied to the second part of the statement.
Step-by-step explanation:
The question at hand involves the proper conversion of a given demi-conditional (√→) and an actuality operator. A demi-conditional can be conceptualized as a conditional (an 'if-then' statement) that applies in a more restricted sense than a full conditional. This might be akin to a 'sort of' or 'to some degree' conditional relationship between A and B. While the actuality operator is not evidenced in the provided excerpts, it can generally be thought of as a way to denote the 'actual' state of things or something akin to a necessity or certainty operator in modal logic.
Referring to the provided equations, and recalling that from Eq. A.8, we understand that the square root operation changes the exponent and that this relationship also allows us to convert between forms of the expression. For example, x² = √x (where the exponent is a fraction).
In the case of the demi-conditional, the correct conversion would likely adhere to the fundamental operation of the square root, i.e., A√→ B = A→ √B. This option (c) respects the original statement's structure on the left side of the demi-conditional and applies the square root to the second part of the statement, creating the proper conversion intuitively conforming to the properties of exponents and roots as discussed.