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NO !!!
However, the square root of '5' is irrational
5^(1/2) = 2.236067978...
Casually an IRRATIONAL NUMBER is one where the decimals go to infinity and there is no regular order in the decimal numbers.
pi = 3.141592.... It the most well known irrational number.
However, 3.3333.... Is NOT irrational because there is a regular order in the decimals.
Here is a definitive statement of Irrational Numbers. Irrational numbers are real numbers that cannot be represented as simple fractions. An irrational number cannot be expressed as a ratio, such as p/q, where p and q are integers, q≠0. It is a contradiction of rational numbers. Irrational numbers are usually expressed as R\Q, where the backward slash symbol denotes ‘set minus’. It can also be expressed as R – Q, which states the difference between a set of real numbers and a set of rational numbers.
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Is -5 a irrational number?
No, -5 is not an irrational number. Irrational numbers are numbers that cannot be represented as the quotient of two integers. Since -5 is already an integer, it is rational.
The difference between two different irrational numbers?
The difference can be rational or irrational.5 + sqrt(3) and 2 + sqrt(3) are both irrational numbers but their difference is[5 + sqrt(3)] - [2 + sqrt(3)] = 3, which is rational.
Why is the sum of two irrational numbers not always irrational?
Because the irrational parts may cancel out.For example, 1 + sqrt(2) and 5 - sqrt(2) are both irrational but their sum is 1 + 5 = 6.
Are all real numbers can be irrational numbers?
No. Square root of (2, or 3, or 5, or 6, or 7, or 8, or 10, or 11) are all real and irrational.
How many irrational numbers are there between 4 and 5?
An infinite amount! Numbers go on forever!
