How many square numbers between 1000 and 2000?

The question presumably refers to, 'How many squares of integers are between 1000 and 2000?'

√1000 = 31.6 : √2000 = 44.7

The answer is the squares of the integers 32 to 44 . There are thus 13 squares of integers in the specified number range.

322 = 1024 : 332 = 1089 : 342 = 1156 : 352 = 1225 : 362 = 1296 : 372 = 1369 : 382 = 1444 : 392 = 1521 : 402 = 1600 : 412 = 1681 : 422 = 1764 : 432 = 1849 : 442 = 1936