Examples of such numbers are 49, where sqrt(49) = 7, 81, where sqrt(81) = 9.
Such numbers are called square numbers.
Wiki User
∙ 14y agoWiki User
∙ 8y agoCorrect.
its called a "perfect square"
A perfect square.
A perfect square.
What are the integers between 0 and 100 whose positive square roots are integers?
To have a whole number square root, the number is a perfect square. Thus the numbers will be the squares of multiples of 11. Thus the first number will be (1×11) × (1×11) = 11² = 121 The next candidate will be (2×11) × (2×11) = 22² = 484 The next possible candidate will be (3×11) × (3×11) = 33² = 1089 which is too large. Thus there are two multiples of 11 less than 1000 whose square roots are whole numbers, namely 121 (11²) and 484 (22²)
its called a "perfect square"
A perfect square.
A perfect square.
A perfect square.
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.
For the same reason that the square root of ANY negative number is not a real number.Real numbers are positive, negative, or zero. * The square of a positive number is a positive number. * The square of a negative number is a positive number. * The square of zero is zero. In other words, in no case will you get a REAL number whose square is a negative number. The square roots of negative numbers are said to be "imaginary" - a name given for historical reasons. They are just as "real" or "unreal" as the so-called real numbers, but the point is that they are a different kind of numbers.
* 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 are the integers between 0 and 100 whose positive square roots are integers?
To have a whole number square root, the number is a perfect square. Thus the numbers will be the squares of multiples of 11. Thus the first number will be (1×11) × (1×11) = 11² = 121 The next candidate will be (2×11) × (2×11) = 22² = 484 The next possible candidate will be (3×11) × (3×11) = 33² = 1089 which is too large. Thus there are two multiples of 11 less than 1000 whose square roots are whole numbers, namely 121 (11²) and 484 (22²)
You get another number whose magnitude will be greater than the original number. Whether it is bigger or smaller will depend on whether the whole number was positive or negative.
3 and 84.