Between which two perfect squares does 51 fall? Justify your answer.

The square root of 51 is approximately 7.14, meaning that 51 falls between the perfect squares 7^2 (49) and 8^2 (64). This can be verified by squaring each number - 7^2 = 49 and 8^2 = 64 - and confirming that 51 is indeed between them.