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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.

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โˆ™ 2016-10-20 22:15:47
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Q: Are all square roots rational numbers?
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Related questions

Are all square roots are irrational numbers?

No. The square roots of perfect squares are rational.


Are all square roots of even numbers rational?

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


Is the square root of 32 a rational number or an irrational number?

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


Do all square roots of perfect squares are rational numbers?

Yes. Not only that, they are counting numbers.


Is the square root of 13 irrational or rational?

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


Is the square root of 19 a rational number?

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


Why are all square roots not irrational numbers?

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.


What kind of number system is a square root?

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.


Why do you need a extenstion of rational 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.


What are non recurring irrational 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.


Are all square roots rational?

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


What real number subsets are square root numbers in?

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.


Some integers are not rational numbers?

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.


Are some integers not rational numbers?

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.


What are the numbers with square roots that are numbers?

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


Is the square root of 81 rational?

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


Are all square roots irrational numbers?

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


What are all the possible rational roots of -39?

-39 has no rational roots.


Are the square roots of all positive integers irrational If not give an example of the square root of a number that is a rational number?

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.


Are uneven square roots rational or irrational why?

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


Are all imperfect square roots repeating decimals?

Yes. Because they have to be a rational number


What does transcendental mean in mathematics?

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.


Are all rational numbers whole numbers?

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


Who invented rational numbers?

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.


Are natural numbers the same of rational numbers?

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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