Why are there no perfect squares between 144 and 169?
Perfect squares are the result of squaring a number. For example, 81 is a perfect square because it is the result of squaring 9: . 144 is a perfect square because it is the result of squaring 12: . 169 is a perfect square because it is the result of squaring 13: . Notice how there are no perfect squares between 144 and 169. If a number is between 144 and 169, its square root must be between and . Since there is no integer between 12 and 13, there are no perfect squares between 144 and 169.We cannot create a perfect square by multiplying something like because it is not the product of two equal integers. The square roots of perfect squares need to be integers.