Q: Are square roots of positive integers rational?

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No. The only square roots of integers that are rational numbers only when the integer is a perfect square.

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.

Integers, odd integers, negative integers, odd negative integers, rational numbers, negative rational numbers, real numbers, negative real numbers, square roots of 1, etc.

A rational number is one that can be expressed as a ratio of two integers, p/q where q > 0. In decimal form, it has a terminating or recurring representation.An rational number is a number than cannot be expressed as a ratio of two integers. In decimal form, it has a infinitely long, non-recurring representation.A square root can be either rational or irrational or neither.Examples:The square roots of 4 are -2 and +2, both rational.The square roots of 2.25 are -1.5 and +1.5, both rational.The square roots of 2 are -1.41421... and +1.41421, both irrational.The square roots of -2 are -1.41421...*i and +1.41421*i, both imaginary.

Related questions

The square root of any positive square number is always rational as for example the square root of 36 is 6 which is a rational number.

What are the integers between 0 and 100 whose positive square roots are integers?

The set comprised of the square roots of the positive integers between 1 and 20 is.

They are rational because the characteristic of evenness and unevenness is relevant only in the context of integers. And all integers are rational.

No. The only square roots of integers that are rational numbers only when the integer is a perfect square.

They are squares of rational numbers. there is no particular name for them.

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 positive rational number and its negative are the two square roots of the same positive rational number.

Every integer is a rational number, and some integers are perfect squares. These are the only rational numbers to have an integral square root.

Integers, odd integers, negative integers, odd negative integers, rational numbers, negative rational numbers, real numbers, negative real numbers, square roots of 1, etc.

No. Lots of square roots are not rational. Only the square roots of perfect square numbers are rational. So for example, the square root of 2 is not rational and the square root of 4 is rational.

A rational number is one that can be expressed as a ratio of two integers, p/q where q > 0. In decimal form, it has a terminating or recurring representation.An rational number is a number than cannot be expressed as a ratio of two integers. In decimal form, it has a infinitely long, non-recurring representation.A square root can be either rational or irrational or neither.Examples:The square roots of 4 are -2 and +2, both rational.The square roots of 2.25 are -1.5 and +1.5, both rational.The square roots of 2 are -1.41421... and +1.41421, both irrational.The square roots of -2 are -1.41421...*i and +1.41421*i, both imaginary.