How would you answer this question?

Question

Mr. Hanf argues that the value of 64^1/2 is 32 since half of the distance from 1 to 64 is 32. Can you see the logic in her thinking? Disprove her claim.

Answer 1

64^1/2 is 64 to the one-half power or the square root of 64, not 1/2 of 64. It is the number when multiplied times itself is 64 and that is 8.