Examples of such numbers are 49, where sqrt(49) = 7, 81, where sqrt(81) = 9.
Such numbers are called square numbers.
its called a "perfect square"
A perfect square.
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.
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 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.
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.
* 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
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.
A number whose square root is an integer is called a "perfect square." Perfect squares are the squares of whole numbers, such as 0, 1, 4, 9, 16, and so on. For example, the square root of 16 is 4, which is an integer, making 16 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)
3 and 84.