Answer
See explanation below.
Work Step by Step
Notice that 8 = $2^{3}$ is a perfect cube, and 9 = $=3^{2}$ is a perfect square. Since 8,9 are consecutive, then the statement is considered proven.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.