Asking for a list for "every number" really doesn't make sense; there are infinitely many numbers, even if you are referring only to whole numbers. You can get the square root of specific numbers on any calculator.
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Like every other number 1600 has only two square roots, plus and minus 40.
It is a perfect square.
10 is the only square root of 100
All numbers can make a square. Every real number makes a positive real square. Every rational number makes a rational square. Every integer makes a perfect square.
A square root is not a number system. Square roots of non-negative numbers may be rational or irrational, but they all belong to the set of real numbers. The square roots of negative numbers do not. To include them, the number system needs to be extended to the complex numbers.