No, a square root doesn't have to be a whole number. The square root of 2.25 is 1.5. It could be said that most square roots are not whole numbers. Take just the first few integers (counting numbers). Find the square roots of the numbers 1 through 10 and you'll find three of the numbers have whole number square roots (1, 4 and 9). The other seven don't. For the numbers 11 through 20, there is only 1 number with a whole number square root (16).
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The square root of 15 is not a whole number.
The square root of 26 is not a whole number
Negative the square root of 36 is -6, which is a whole number.
nope! take the square root of 5, 2.236067978... which is not a whole number! hope this helps!
When the whole number is a perfect square, ie it is a whole number squared.