A number whose square roots are integers or quotients of integers is known as a rational number. Specifically, it can be expressed as the square of a rational number, meaning it can be written in the form ( \left( \frac{p}{q} \right)^2 ), where ( p ) and ( q ) are integers and ( q \neq 0 ). Examples of such numbers include perfect squares like 1, 4, and 9, as well as rational square roots like ( \frac{1}{4} ) or ( \frac{9}{16} ). In general, any rational number that can be expressed as a fraction of integers can also have rational square roots.
No. A number will have a rational square root, only if both the numerator and denominator of the simplified fraction are squares of integers.
Every integer is a rational number, and some integers are perfect squares. These are the only rational numbers to have an integral square root.
It is a perfect square.
It is a perfect square.
Perfect Square
They are squares of rational numbers. there is no particular name for them.
Large perfect squares.
perfect squares
No. A number will have a rational square root, only if both the numerator and denominator of the simplified fraction are squares of integers.
Every integer is a rational number, and some integers are perfect squares. These are the only rational numbers to have an integral square root.
It is a perfect square.
Such a number is called a "perfect square".
No. Integers are counting numbers, or whole numbers.Only squares of integers (e.g. 4, 9, 16, 25) can have integer roots.Square roots of numbers that are not squares of integers are also not rational numbers, because they have repeating or non-repeating decimal extensions.
It is a perfect square.
Perfect Square
Such a number is called a "perfect square".
The integers of its square roots refer to perfect squares, which are numbers that can be expressed as the square of an integer. For example, 0, 1, 4, 9, 16, and 25 are perfect squares because their square roots (0, 1, 2, 3, 4, and 5, respectively) are whole numbers. In general, a perfect square can be represented as ( n^2 ), where ( n ) is an integer.