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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.

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Q: 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?
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Related questions

Are all negative integers irrational numbers?

No. All integers (positive And negative) are rational numbers (not irrational). A rational number can be expressed as a/b, where a & b are both integers, and b is nonzero. So the integer -3 can be expressed as a/b, where [a = 3, and b = -1] for example, or [a = -6 and b = 2].


Are irrational number integers?

No- integers are a kind of rational number and are not irrational. One well-known example of an irrational number is the square root of 2.


Is the inverse of aan irrational number is irrational?

Yes. Both the additive inverse and the multiplicative inverse would be irrational in this case. For example, if a and b are integers, a/b is rational by definition; in this case, b/a would also be rational, being the ratio of two integers.


Is 45 a rational number or an irrational number?

All integers are rational, since they can be written, for example, in the form 45/1.


Is -17 a rational or an irrational?

Rational. It can be written as a fraction where the denominator is not equal to 0. For example as -17/1. All integers are rational.


Can you add two positive irrational numbers to get an rational number?

Sure; for example, 10 + pi is irrational, 10 - pi is irrational. Both are positive. If you add them, you get 20.


Are negative square roots rational or irrational?

If the positive square root (for example, square root of 2) is irrational, then the corresponding negative square root (for example, minus square root of 2) is also irrational.


How are the integers and rational number different?

Integers or whole numbers are rational numbers because they can be expressed as fractions as for example 6 as a fraction is 6/1 but irrational numbers can't be expressed as fractions.


Is 0.712 rational or irrational?

0.712 is rational. It is 712/1000. Irrational numbers are infinite. An example of an irrational number is pi, which is 3.1415926535... .


What is irrational or rational?

In math, a rational number is one that can be expressed as the RATIO (or fraction) between two integers. This includes the integers themselves, and fractions such as 2/3, 7/5, -3/2, etc.An irrational number is one that can't be expressed exactly as a fraction. For example, the square root of 2 (indeed, the square root of any positive integer is either a whole number or an irrational number), pi, e, and combinations such as square root of 2 + 1, pi/4, etc. Outside of math, "rational" means something that makes sense; "irrational" is something that doesn't.


What is rational and irrational number give example?

All integers and fractions are rational numbers whereas irrational numbers can't be expressed as fractions as for example the square root of 2 can't be expressed as a fraction because it is a non-terminating decimal number.


Is negative fractions rational or irrational?

Rational. Any number that is the ratio of two integers is by definition rational. For example, -2/3 is the ratio of -2 to 3.Answer 1irrational


How can a number be determined as rational or irrational?

A number is a rational number when it can be expressed as a fraction otherwise it is an irrational number * * * * * A fraction, in this context, being a ratio of two integers (not pi/2, for example).


What is the number that is neither rational or irrational?

Any real number is either rational or irrational. The rational ones are the ones that can be written in the form a/b where and b are integers and b does not equal 0. The irrational ones are all the other ones. If you expand your domain to include numbers other than the real numbers, like the imaginary numbers for example, there is no definition of "rational" or "irrational" for the non-real numbers. Zero is a rational number since it can be written as 0/1 and both 0 and 1 are integers.


Is the sum of two POSITIVE irrational numbers ALWAYS irrational?

No. Two irrational numbers can be added to be rational. For example, 1/3 + 2/3 = 3/3. 1/3 and 2/3 are both irrational, but 3/3 = 1, which is rational.


What describes an irrational number?

The basic definition is that a rational number can be expressed as a fraction, with integers in the numerator and the denominator; if such a representation is not possible, you have an irrational number. For example, 1/3, 5/2 and 7 (which is equal to 7/1) are rational numbers; the square root of 2, pi, and e are irrational, because it has been proven that none of them can be expressed as a fraction with integers.


How do you determine a rational or irrational number?

It isn't always possible to determine. For example, it is unknown whether the Euler-Mascheroni constant (0.5772156649...) is rational or irrational.Most famous numbers and constants are known to be rational or irrational. If it can be expressed as a fraction a/b where a and b are integers, it's rational.


Are integars irrational numbers?

No, integers aren't irrational numbers. For a number to be irrational, it must not be able to be expressed as a fraction of two integers. Every integer can be expressed as the integer itself divided by one, and so fails to meet this requirement. For example, 2 can be expressed as 2/1; therefore, it is a rational number as opposed to an irrational number.


Negative fractions are Rational number?

They are rational, if the numerator and denominator are integers. For example, -2 / 3 would be a rational number.They are rational, if the numerator and denominator are integers. For example, -2 / 3 would be a rational number.They are rational, if the numerator and denominator are integers. For example, -2 / 3 would be a rational number.They are rational, if the numerator and denominator are integers. For example, -2 / 3 would be a rational number.


Is negative two an irrational number?

Rational numbers are those that can be expressed as a ratio of two integers. So 2, which can be expressed in such a way, for example, (-2) / 1 or 2 / (-1) is a rational number.


How can you classify different numbers?

Obviously, there are an infinite number of ways you can classify numbers.For example, you can classify positive and negative numbers; integers and non-integers; rational and irratinoal numbers; real numbers and complex numbers.Obviously, there are an infinite number of ways you can classify numbers.For example, you can classify positive and negative numbers; integers and non-integers; rational and irratinoal numbers; real numbers and complex numbers.Obviously, there are an infinite number of ways you can classify numbers.For example, you can classify positive and negative numbers; integers and non-integers; rational and irratinoal numbers; real numbers and complex numbers.Obviously, there are an infinite number of ways you can classify numbers.For example, you can classify positive and negative numbers; integers and non-integers; rational and irratinoal numbers; real numbers and complex numbers.


Are some rational numbers are integers?

Since all integers are rational numbers (but not all rational numbers are integers), the certainly some of the rational numbers are integers. For example, 1, 2, and 3 are rational numbers. They are also integers.


Tell whether each number is rational?

Rational numbers include integers, and any number you can write as a fraction (with integers in the numerator and denominator). Most numbers that include roots (square roots, cubic roots, etc.) are irrational - if you take the square root of any integer except a perfect square, for example, you'll get an irrational number. Expressions involving pi and e are also usuallyirrational.


Which is a real number that is not a rational number?

Actually there are more irrational numbers than rational numbers. Most square roots, cubic roots, etc. are irrational (not rational). For example, the square of any positive integer is either an integer or an irrational number. The numbers e and pi are both irrational. Most expressions that involve those numbers are also irrational.


Is zero an irational number?

Zero is a rational number, and therefore is NOT an irrational number. The definition of a rational number is any number that can be expressed as a fraction where the numerator and demoninator are both integers, and the denominator is non-zero. Irrational numbers are all real numbers that are not rational numbers. Since zero qualifies under the definition of a rational number, (0/3, for example), it therefore cannot be an irrational number.