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# Is the square root of 8 a real number or a rational number or an irrational number or integers or a whole number?

Updated: 9/26/2023

Wiki User

7y ago

The square root of 8 is irrational and real.

Wiki User

7y ago

Wiki User

7y ago

They are real and Irrational Numbers.

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Q: Is the square root of 8 a real number or a rational number or an irrational number or integers or a whole number?
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### What is rational compared to irrational?

rational numbers can be represented as a ratio of integers such as 1/4 and irrational numbers can NOT. Square root of 2 is an irrational number.

### Is the square root of four a real number or a rational number or an irrational number or integers or a whole number?

The square root of 4 is a whole number, an integer, rational and real.

### Is the square root of 99 a rational number?

√99 = Square root of 99 = Irrational. Rational # are able to be expressed as the ratio of 2 integers. i.e. √25 = +5 5 = 5/1 = rational Irrational # can not be expressed as a ratio of 2 integers.

### If you take the square root of an irrational number.Will it be irrational too?

Certainly. Otherwise, there would be a rational number whose square was an irrational number; that is not possible. To show this, let p/q be any rational number, where p and q are integers. Then, the square of p/q is (p^2)/(q^2). Since p^2 and q^2 must both be integers, their quotient is, by definition, a rational number. Thus, the square of every rational number is itself rational.

### Is the square root of -144 rational or irrational?

It is irrational, because it is not a perfect square. For example, if you have a number that is perfect like the square root of 100, it would be 10, which is a rational number. An irrational number like 16.4 which would be a not so accurate result like 6.447583839, those are irrational numbers. Hope this helps!

### 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.

### What number is both rational and irrational?

None. A rational number is a number that can be written as the quotient of two integers where the divisor is not zero. An irrational number is a real number that cannot be written as the quotient of two integers where the divisor is not zero. Any given real number either can or cannot be written as the quotient of two integers. If it can, it is rational. If it cannot, it is irrational. You can't be both at the same time. The square root of -1 is not a real number and it cannot be written as the quotient of two integers, so it is neither rational nor irrational.

### Is the square root of 432.8 rational?

No, the square root of 432.8 is an irrational number because it cannot be expressed as a fraction of two integers.

### Are integers irrational numbers?

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 square root of 29 a rational or an irrational number?

The square root of 29 is an irrational number.

### Is the square of a number irrational Always sometimes never?

The square of a rational number can be either rational or irrational. However, the square of an irrational number is always irrational.

### If you get a whole number while doing square roots what would the answer be rational or irrational?

A rational number is a number that can be expressed as the division of two integers, while the divisor is not zero. An irrational number is any number that is not rational.Whole numbers are rational, because the divisor is 1. It has nothing to do with square roots.