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.
Not sure what you mean by "perfect square root".A "perfect square" is the square of a whole number; if that's what you mean, yes, it's the square of the number 1.
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).
The square root of 49 is 7 which is a whole number but it can be expressed as 7/1 which is an improper fraction.
A perfect square is a number whose square root is a whole number, such as 1, 4, 9, 16, 25, etc.
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.
Not sure what you mean by "perfect square root".A "perfect square" is the square of a whole number; if that's what you mean, yes, it's the square of the number 1.
Yes. For example, the square root of 1/9.
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).
The square root of 49 is 7 which is a whole number but it can be expressed as 7/1 which is an improper fraction.
The answers is not a whole number or a real number, but approx. 7.071 multiplied by i, the imaginary representative for the square root of negative 1.
Yes, it is -1 because -1x-1 = 1
It is true that the square root of a prime number like 11 is never a whole number. But to say that that has never been proven is incorrect. The square root of any positive integer that is not a square number (the square of an integer) is always irrational, and that is relatively easy to prove. To prove that prime numbers are not square numbers is even easier. That is basically true by definition. If a number greater than 1 were a square number, its square root would be a factor other than 1 and itself; therefore, it would not be a prime number.Answer 1No - the square root of 11 is not a whole number. 11 is prime so it has no factors except itself and 1, anyways.Any prime number has no square root that is a whole number or integer. (That postulate has not been proven, but it has not been disproven so it is accepted as true.)
The square root of one is one.
A whole number whose square root is also a whole number is called a perfect square. In mathematics, perfect squares are numbers that can be expressed as the product of an integer with itself. Examples of perfect squares include 1, 4, 9, 16, and so on.
A perfect square is a number whose square root is a whole number, such as 1, 4, 9, 16, 25, etc.
The square root of 3 falls between 1 and 2. (It is closer to 2 though)