Best Answer

A rational number is one that can be represented as an integer or a fraction with an integer over an integer. An irrational number cannot be represented using integers.

Examples of rational numbers: 2, 100, 1/2, 3/7, 22/7

Examples of Irrational Numbers: π, e, √2

Q: What is the difference between a rational and an irrational?

Write your answer...

Submit

Still have questions?

Continue Learning about Other Math

The sum or the difference between two irrational numbers could either be rational or irrational, however, it should be a real number.

All natural numbers are rational numbers. No irrational numbers are natural numbers.

The intersection between rational and irrational numbers is the empty set (Ø) since no rational number (x∈ℚ) is also an irrational number (x∉ℚ)

Rational

The sum, or difference, of two irrational numbers can be rational, or irrational. For example, if A = square root of 2 and B = square root of 3, both the sum and difference are irrational. If A = (1 + square root of 2), and B = square root of 2, then, while both are irrational, the difference (equal to 1) is rational.

Related questions

rational and irrational

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

A decimal rational number can be expressed as a fraction A decimal irrational number can not be expressed as a fraction

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.

There is no number which can be rational and irrational so there is no point in asking "how".

-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.

The sum or the difference between two irrational numbers could either be rational or irrational, however, it should be a real number.

No. sqrt(3) - sqrt(2) is irrational.

All natural numbers are rational numbers. No irrational numbers are natural numbers.

Yes. 2+sqrt(3) and 5+sqrt(3). Their difference is 3, which is rational.

Yes.

A rational number can be expressed as a ratio of two integers, p/q where q > 0. An irrational number cannot be expressed in such a way.