Q: Are all square roots rational numbers?

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No. The square roots of perfect squares are rational.

No. The square roots 8 are irrational, as are the square roots of most even numbers.

Irrational. All square roots of rational numbers are irrational, except perfect squares.

Yes. Not only that, they are counting numbers.

The square root of 13 is irrational. All square roots of whole numbers are irrational unless the number is a perfect square.

No. 19 is a prime number, and all prime numbers have irrational roots.

Because some of them are squares of rational numbers. So their square roots are the rational numbers.Thus if x is rational, then the square roots of x2, which are -x and +x are both rational.

A square root is not a number system. Square roots of non-negative numbers may be rational or irrational, but they all belong to the set of real numbers. The square roots of negative numbers do not. To include them, the number system needs to be extended to the complex numbers.

You need an extension because rational numbers are a tiny subset of all real numbers. There are transcendental numbers such as pi and e which are key to geometry and calculus (respectively), the Golden ratio, as well as all the non-rational roots of rational numbers.

All irrational numbers are non-recurring. If a number is recurring, it is rational. Examples of irrational numbers include the square root of 2, most square roots, most cubic roots, most 4th. roots, etc., pi, e, and most calculations involving irrational numbers.

No. A number will have a rational square root, only if both the numerator and denominator of the simplified fraction are squares of integers.

if there is no integer answer, they are irrationalex. sq root 5 is irrational but sq root 9 = 3 so it is rational,integer, counting numberif you are taking sq root of a negative they are imaginary ex. sqroot (-9)=========================The square roots of all positive real numbers are real numbers.The square roots of all negative real numbers are imaginary numbers.Some square roots are rational, but the vast majority are irrational.

All integers are rational numbers. There are integers with an i behind them that are imaginary numbers. They are not real numbers but they are rational. The square root of 2 is irrational. It is real but irrational.

All integers are rational numbers. There are integers with an i behind them that are imaginary numbers. They are not real numbers but they are rational. The square root of 2 is irrational. It is real but irrational.

A number with a square root is still a number. So the answer is all of them.

Yes. The square root of 81 is 9 - a natural number and all natural numbers are rational numbers.

No. Square root of 9=3. 3=3/1. Therefore not all square roots are irrational

-39 has no rational roots.

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.

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

Yes. Because they have to be a rational number

An algebraic number is one which is a root of a polynomial equation with rational coefficients. All rational numbers are algebraic numbers. Irrational numbers such as square roots, cube roots, surds etc are algebraic but there are others that are not. A transcendental number is such a number: an irrational number that is not an algebraic number. pi and e (the base of the exponential function) are both transcendental.

All rational numbers are not whole numbers, as rational numbers can include fractions.

Well, no one knows who exactly 'invented' rational numbers. Most nations believed all numbers were rational until Pythagoreas proved this untrue by the square root of two.

The set of rational numbers includes the set of natural numbers but they are not the same. All natural numbers are rational, not all rational numbers are natural.

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