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# Find whether the variable u represents a rational number or irrational numbers : u² = 17/4

**Solution:**

Given, u² = 17/4

We have to find whether u 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, u² = 17/4

Taking square root,

u = √(17/4)

u = √17/2

Therefore, u is an irrational number.

**✦ Try This: **Find whether the variable x represent rational number or irrational numbers : x² = 49

Given, x² = 49

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 = 49

Taking square root,

x = √49

x = 7

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(iv)**

## Find whether the variable u represents a rational number or irrational numbers : u² = 17/4

**Summary:**

Irrational numbers are real numbers that cannot be represented as a simple fraction. The variable u represents an irrational number

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