Question

The converse of if x^2=64 then x=8

Answer 1

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.

Answer 2

Answer: if x=8 then x^2=64

Explanation:

In the original statement, the condition is that x^2 equals 64, and the conclusion is that x must be equal to 8. In the converse statement, the condition and conclusion are switched. It states that if x is equal to 8, then x^2 will be equal to 64.