# Find whether the variable y represents a rational number or irrational numbers : y² = 9

**Solution:**

Given, y² = 9

We have to find whether y is a rational or irrational number.

A number is called a rational number, if it can be written in the form p/q , where p and q are integers and q ≠ 0.

A number is said to be rational only if its decimal representation is repeating or terminating.

Given, y² = 9

Taking square root,

y = √9

y = 3

Therefore, y is a rational number.

**✦ Try This: **Find whether the variable x represent rational number or irrational numbers : x² = 16

Given, x² = 16

We have to find whether x is a rational or irrational number.

A number is called a rational number, if it can be written in the form p/q , where p and q are integers and q ≠ 0.

A number is said to be rational only if its decimal representation is repeating or terminating.

Given, x² = 16

Taking square root,

x = √16

x = 4

Therefore, x is a rational number.

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 1

**NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 1 (ii)**

## Find whether the variable y represents a rational number or irrational numbers : y² = 9

**Summary:**

Fractions are made up of whole numbers while rational numbers are made up of integers as their numerator and denominator. The variable y represents a rational number

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