Numbers with square roots that are whole numbers
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).
Rational numbers whose square roots are whole numbers are themselves whole numbers. They are called square numbers, e.g. 1, 4, 9, 16, 25 and so on.
Every whole number
Very rarely. Square roots are only whole numbers for perfect squares.
No. Square roots of whole numbers that don't result in whole numbers (e.g. the square root of 64 is 8), are considered to be "irrational numbers".
Twenty of them
All whole numbers between 1 and 400 (=20 square).
The square root of 31 falls between the whole numbers 5 and 6.
There are only 999 three digit whole numbers.
The square root of 110 is an irrational number and so it cannot be any two whole numbers.
there are 899 whole numbers that have three digits.
4x4=16, and 5x5=25, so 4 and 5 are the whole numbers closest to the square root of 19. [And incidentally of all the square roots of all the whole numbers between 16 and 25.]
The square of every positive or negative even whole number is a positive even whole number. The square of every positive or negative odd whole number is a positive odd whole number. There are an infinite number of each kind.
There are no such whole numbers. The sum of three consecutive whole numbers must be a multiple of 3; as 68 is not a multiple of 3 (68 = 3 × 22 2/3) it cannot be the sum of three whole numbers.
No, square numbers are numbers that are the square of a whole number, such as: 12 = 1; 22 = 4; 32 = 9; etc. The numbers 1, 4, 9, etc. are the square numbers.
The square root of 135 is 11.61895. The two whole numbers closest would be 11 and 12.
There are three whole numbers berween three and seven. They are four, five and six.
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.
Factors refer to whole numbers. The square root of 820 is not a whole number.
They are perfect squares.
They are called perfect squares.
Using 1, 2, and 3, you can make 27 whole numbers.
48 is not a square number, so the square root of 48 is irrational and can not be represented as a whole number.