2006-11-06 14:05:56 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Here's a list of perfect whole-numbered squares between 200 and 2000:
225
256
289
324
361
400
441
484
529
576
625
676
729
784
841
900
961
1024
1089
1156
1225
1296
1369
1444
1521
1600
1681
1764
1849
1936
There are 30 perfect whole-numberd squares between 200 and 2000
2006-11-06 23:17:11 · answer #1 · answered by Akilesh - Internet Undertaker 7 · 0⤊ 0⤋
Just take the square root of the two numbers to get the range of numbers that fit in.
sqrt(200) = 14.14
Thus the first number in this range that's a perfect square is 15 (14^2 = 196, 15^2 = 225)
sqrt(2000) = 44.72
Thus the last perfect square in this range is 44 (44^2 = 1936, 45^2 = 2025).
Therefore, 15^2 to 44^2 are perfects squares between 200 and 2000.
This totals to 30 perfect squares!
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Hope this helps
2006-11-06 22:17:02 · answer #2 · answered by JSAM 5 · 0⤊ 0⤋
15^2 = 225
44^2 = 1936
So there are 30 perfect squares between 200 and 2000.
How I solved without using trial and error:
sqrt(200) = 14.14, so 15 is the lowest number.
sqrt(2000) = 44.72 so 44 is the highest number.
Figure out how many numbers starting at 15 up to 44.
~i~
2006-11-06 22:27:26 · answer #3 · answered by iggry 2 · 2⤊ 0⤋