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The square root of a non-perfect square may be irrational and therefore may not be easy to find. However, it need not be.

For example, 2.25 is not a perfect square but 2.25 = 9/4 and both 9 and 4 are perfect squares. So sqrt(2.25) = sqrt(9/4) = sqrt(9)/sqrt(4) = 3/2 = 1.5. Not that difficult!

Q: What is the difference between finding the square root of a perfect square and the square root of a non perfect square?

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None, although "perfect square" tends to be used for whole numbers.

A principal square root is any square root that's answer is positive, and a perfect square root is a square root that's answer is an integer.

The smallest perfect squares that end with 9 are 9 (the square of 3) 49 (the square of 7). Their difference is 40.

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

Perfect square roots are square roots that have a whole number that can go into it perfectly. Nonperfect square roots are square roots that have decimal numbers going into it. Example: Perfect Square Root: 144- Square Root: 12 Nonperfect Square Root: 24- Square Root: About 4.89

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No, but a perfect square is usually the square of a whole number.

None, although "perfect square" tends to be used for whole numbers.

A principal square root is any square root that's answer is positive, and a perfect square root is a square root that's answer is an integer.

The smallest perfect squares that end with 9 are 9 (the square of 3) 49 (the square of 7). Their difference is 40.

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

There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.

Perfect square roots are square roots that have a whole number that can go into it perfectly. Nonperfect square roots are square roots that have decimal numbers going into it. Example: Perfect Square Root: 144- Square Root: 12 Nonperfect Square Root: 24- Square Root: About 4.89

"Perfect square" means that you square a whole number. Sometimes simply called "square" or "square number". "Difference of two squares" is the result of subtracting one such square from another. In most cases, the difference will not itself be a square.

Those are two completely different operations.

Since a thousand squared is a million, the "smallest..." is the square of 1001, and the "largest..." is the square of 999.

the square root of 1280 is between 35.7 and 35.8 therefore it is NOT a perfect square.

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