Calculator Use

Rational Or Irrational Calculator is a free online tool that Determine whether a number is rational or irrational. This online Rational Or Irrational Calculator tool performs the calculation faster, and it displays the result in a fraction of seconds.

The procedure to use the Rational Or Irrational Calculator is as follows:

Step 1: Enter the expression, i.e. the value of n and a in the respective input field

Step 2: Now click the button “Calculate” to get the result

Step 3: Finally, the answer (rational or irrational) will be displayed in the output field

Rational and Irrational Number Calculator

What is Rational numbers?

Rational numbers are numbers which can be expressed as a fraction and also as positive numbers, negative numbers and zero. It can be written as p/q, where q is not equal to zero.

Examples: 1/3, 1/2, 2, 3

Rational Numbers: The real numbers which can be represented in the form of the ratio of two integers, say P/Q, where Q is not equal to zero are called rational numbers.

What is irrational numbers?

The numbers which are not rational numbers are called irrational numbers. Irrational numbers could be written in decimals but not in the form of fractions, which means they cannot be written as the ratio of two integers.

Irrational numbers have endless non-repeating digits after the decimal point.

Examples: √2 = 1.4142135623730951...

Irrational Numbers: The real numbers which cannot be expressed in the form of the ratio of two integers are called irrational numbers.

How to identify if a number is rational or irrational?

If a number is terminating number or repeating decimal, then it is rational, for example, 1/2 = 0.5.

If a number is non-terminating and non-repeating decimal, then it is irrational, for example, o.31545673…

What is the properties of Rational and Irrational Numbers?

1: The sum of two rational numbers is also rational.

Example: 1/4 + 1/5 = 9/20

2: The product of two rational numbers is rational.

Example: 1/4 x 1/5 = 1/15

3: The sum of two irrational numbers is not always irrational.

Example: √2+√2 = 2√2 is irrational

1+3√2+(-3√2) = 1 is rational

4: The product of two irrational numbers is not always irrational.

Example: √3 x √4 = √12 (Irrational)

√3 x √3 = √9 = 3 (Rational)

What is the Difference Between Rational Numbers and Irrational Numbers?

1.Rational Numbers that can be expressed as a ratio of two number (p/q form) are termed as a rational number. Irrational Numbers that cannot be expressed as a ratio of two numbers are termed as an irrational number.

2.Rational Number includes numbers, which are finite or are recurring in nature.Irrational Numbers consist of numbers, which are non-terminating and non-repeating in nature.

3.Rational Numbers includes perfect squares such as 4, 9, 16, 25, and so on.Irrational Numbers includes surds such as √2, √3, √5, √7 and so on.

4.Both the numerator and denominator are whole numbers, in which the denominator is not equal to zero.Irrational numbers cannot be written in fractional form.