In mathematics, a conditional statement is typically presented in the format "If p, then q," where "p" is a hypothesis and "q" is a conclusion. The structure of such a statement is that the truth of the first part (the hypothesis) leads to the truth of the second part (the conclusion).
Now, let's analyze each option given to determine which one is correctly written as a conditional statement:
(a) "The square root of four is two." - This is not a conditional statement; it's a fact or an equality.
(b) "The square root of four is two." - This is identical to option (a) and also not a conditional statement.
(c) "Four is a perfect square or you can evaluate its square root." - This is a disjunction, not a conditional statement.
(d) "Four is a perfect square or you can evaluate its square root." - This is identical to option (c) and also not a conditional statement.
(e) "If four is a perfect square, then you can evaluate its square root." - This statement has the conditional "If p, then q" structure and is the correct form of a conditional statement.
(f) "If four is a perfect square, then you can evaluate its square root." - This statement is identical to option (e) and also correctly written as a conditional statement.
(g) "Four is a perfect square when you can evaluate its square root." - This suggests a time relation rather than a conditional relationship and is not a conditional statement in the "If p, then q" format.
Given the information, both options (e) and (f) are properly written conditional statements. Since these two options are the same, they both could be considered the correct options for a conditional statement. Therefore, the correct answer would be option (e) or (f), as they are identical and correctly written as conditional statements.