To find the perfect squares between 20 and 150, we need to determine the perfect squares less than 20 and the perfect squares greater than 150. The perfect squares less than 20 are 1, 4, 9, and 16. The perfect squares greater than 150 are 169 and 196. Therefore, there are 5 perfect squares between 20 and 150: 25, 36, 49, 64, and 81.
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72 = 49 < 50 < 64 = 82 and 122 = 144 < 150 < 169 = 132 So the squares of 8 to 12 ie 64, 81, 100, 121 and 144 are in the specified interval.
It is 100 that is a perfect square between 50 and 150
64 = 8 x 8 81 = 9 x 9 100 = 10 x 10 121 = 11 x 11
A perfect square is a number that can be expressed as the product of an integer multiplied by itself. To find a perfect square between 150 and 250, we need to determine the square root of the upper and lower bounds. The square root of 150 is approximately 12.25, and the square root of 250 is approximately 15.81. Therefore, the perfect square between 150 and 250 is 169, which is 13 squared.
Just calculate the square of 1, the square of 2, etc.