# Find whether the variable x represents a rational number or irrational numbers : x² = 5

**Solution:**

Given, x² = 5

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 = 5

Taking __square root__,

x = √5

Therefore, x is an __irrational number__.

**✦ Try This: **Find whether the variable x represent rational number or irrational numbers : y² = 25

Given, y² = 25

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 = 5

Taking square root,

y = √25

y = 5

Therefore, y is a rational number.

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

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

## Find whether the variable x represents a rational number or irrational numbers : x² = 5

**Summary:**

The real numbers that are not rational numbers are known as irrational numbers. The variable x represents an irrational number

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