How to tell if a number is rational or irrational

Posted By Admin @ September 03, 2022

Question:

Determine whether the given number is an irrational number or a rational number and place it in its representing

category
Irrational Numbers
Rational Numbers

The rational numbers are √36, 7/16, and √81 = 9 the irrational numbers are √120, √48, and π.

What is an irrational number?

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

From the definition of rational and irrational number, we can identify the rational and irrational numbers as below:

Rational numbers:

√36 = 6

7/16

√81 = 9

Irrational number:

√120

√48

π

Thus, the rational numbers are √36, 7/16, and √81 = 9 the irrational numbers are √120, √48, and π.

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