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- They are not rational, that is, they cannot be expressed as a ratio of two integers.
- Their decimal equivalent is infinitely long and non-recurring.
- Together with rational numbers, they form the set of real numbers,
- Rational numbers are countably infinite, Irrational Numbers are uncountably infinite.
- As a result, there are more irrational numbers between 0 and 1 than there are rational numbers - in total!
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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.
Are -3036661 451 and 5 irrational numbers?
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.
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.
Are rational numbers is an irrational numbers?
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational 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.
