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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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" 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.