9 x 9 = 81 and 10 x 10 = 100. So any number 82-99 would have a square root between 9 and 10.
Yes. The square of a whole number is always a whole number. For example, 3 squared is 9, so the square root of 9 is 3. What you never have, is the square root of a whole number being a fraction that is not a whole number. The square root of a whole number is either a whole number or an irrational number. For example, the square root of 2 is irrational, because there are no 2 whole numbers a and b such that a/b squared is 2. This is not terribly difficult to prove, but I have already said too much; I have answered your question.
No, but a perfect square is usually the square of a whole number.
For a number to be a perfect square, the number's square root has to be a whole number. 9 is a perfect square because its square root is a whole number, 3. If the square root of the number is a decimal, then it is not a perfect square. For example, 13 does not divide evenly so it not a perfect square.
No number is "between" a single number. In this case, it is the other way round: the square root is between two whole numbers.
A perfect square root is where the square root of a number equals another whole number. For example, the square root of 144 is 12. 12 is a whole number thus 144 is a perfect square root.
The square root of a perfect square is a whole number. Example sqrt(36) = 6 so 36 is a perfect square Example sqrt(25) = 5 so 25 is a perfect square Example sqrt(8)= 2.828 which is not whole so 8 is not a perfect square
Yes. The square of a whole number is always a whole number. For example, 3 squared is 9, so the square root of 9 is 3. What you never have, is the square root of a whole number being a fraction that is not a whole number. The square root of a whole number is either a whole number or an irrational number. For example, the square root of 2 is irrational, because there are no 2 whole numbers a and b such that a/b squared is 2. This is not terribly difficult to prove, but I have already said too much; I have answered your question.
The whole number between the square roots of 60 and 70 is 8. 8² = 64.
Try it out! For example, you can use a calculator to calculate the number's square root. If you get a whole number - no decimals - then the number is a perfect square.
No, but a perfect square is usually the square of a whole number.
For a number to be a perfect square, the number's square root has to be a whole number. 9 is a perfect square because its square root is a whole number, 3. If the square root of the number is a decimal, then it is not a perfect square. For example, 13 does not divide evenly so it not a perfect square.
No number is "between" a single number. In this case, it is the other way round: the square root is between two whole numbers.
How about 16 as one example
A perfect square root is where the square root of a number equals another whole number. For example, the square root of 144 is 12. 12 is a whole number thus 144 is a perfect square root.
652 = 4225, There are no whole numbers between only one number.
A whole number that can be made by multiplying an integer by itself is a perfect square, or square number. An example is 81, which is a perfect square made by 9 x 9.
Yes. For example, the square root of 1/9.