100 is a perfect square of 10.
The square root of 1000 is 31.6blahblahblah, so the square of 31 is less than 1000 and the square of 32 is more than 1000.
That means the perfect squares between (not including) 100 and 1000 are the squares of 11 through 31, a total of 21 different values.
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1900
68 of them.
683 perfect squares.
sqrt(2000) = 44.7sqrt(20000) = 141.4So the perfect squares between 2000 and 20000 are the squares of 45 to 141 (inclusive)ie there are 97 perfect squares in the interval.
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.