The positive integers whose squares are less than 1000 are:
12 = 1
22 = 4
32 = 9
42 = 16
52 = 25
62 = 36
72 = 49
82 = 64
92 = 81
102 = 100
112 = 121
122 = 144
132 = 169
142 = 196
152 = 225
162 = 256
172 = 289
182 = 324
192 = 361
202 = 400
212 = 441
222 = 484
232 = 529
242 = 576
252 = 625
262 = 676
272 = 729
282 = 784
292 = 841
302 = 900
312 = 961
square numbers 1 to 1000
1000
1, 4, 25, 100, 1000
152 = 225 and 312 = 961 so there are 16 square numbers between 200 and 1000
There are 5 square numbers under 30: 1, 4, 9, 16, and 25.
square numbers 1 to 1000
1000
1, 4, 25, 100, 1000
There are 31 perfect square numbers between 1 and 1000 (including 1).
152 = 225 and 312 = 961 so there are 16 square numbers between 200 and 1000
168 prime numbers under 1000.
There is an infinity of squares that are over 1000, starting with 322 = 1024.
There are 5 square numbers under 30: 1, 4, 9, 16, and 25.
They are the squares of the numbers 1 to 31. Use a calculator to find them.
A square number is any number multiplied by itself. 1 is a square number, since 1 x 1 = 1. 2 is not, since there is no integer that you can multiply by itself to get 2. 4 is the next square number, since 2 x 2 = 4. Squaring 3, 4, and 5 give the next three square numbers: 9, 16, and 25. To get the first thousand square numbers, take each of the first thousand natural numbers (1, 2, 3, ... 1000) and multiply them by themselves. This will produce the first thousand square numbers, ranging from 1 (1x1) to 1,000,000 (1,000 x 1,000).
15.
No. Negative numbers are real but their square roots are not.