Explanation:
To understand the converse of the statement "if x^2 = 64 then x = 8," we need to switch the hypothesis and conclusion of the original statement.
The original statement has the following structure:
If hypothesis (x^2 = 64), then conclusion (x = 8).
The converse would entail reversing the order by making the conclusion the hypothesis, and vice versa:
If hypothesis (x = 8), then conclusion (x^2 = 64).
In other words, the converse of the original statement asserts that if x equals 8, then the square of x equals 64. In this case, the converse is still true because when x is indeed 8, x^2 is indeed equal to 64.