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What does perfect square mean?
* Its square root is a whole #. Example: 16 is a perfect square. Its square root is 4. 17 is not a perfect square. Its square root is around 4.123105626
What is a rational number whose square root is a whole number?
If the square root is a whole number, then the square of the square root, the original number, is also a whole number; all whole numbers can be expressed as themselves over 1, and so are rational numbers. The answer is thus any square number, ie the square of the natural numbers: 1 (1²), 4 (2²), 9 (3²), 16 (4²), etc.
What does it mean for a number to be a perfect square?
A perfect square is a number whose square root is a whole number, such as 1, 4, 9, 16, 25, etc.
What does it mean if there are two square root symbols over a number?
Take the square root of the square root of the number (that is the fourth root of the number), for example: √√16 = √(√16) = √4 = 2 24 = 16 ⇒ 2 is the fourth root of 16.
Does a square root have to be a whole number?
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).
