Between which two perfect squares does
51 fall? Justify your answer.
51 falls between the perfect squares 49 and 64.
To justify this answer, we can calculate the square root of 51. The square root of 51 is approximately 7.14. The closest perfect squares to 51 are 49 (7^2) and 64 (8^2). Since 51 is greater than 49 but less than 64, we can conclude that it falls between these two perfect squares.