# Find whether the variable z represents a rational number or irrational numbers : z² = .04

**Solution:**

Given, z² = .04

We have to find whether z 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, z² = .04

Taking square root,

z = √0.04

z = 0.2

0.2 can be written as 2/10

So, 2/10 = 1/5

So, z = 1/5

Therefore, z is a rational number.

**✦ Try This: **Find whether the variable x represent rational number or irrational numbers : x² = 0.016

Given, x² = 0.016

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 = 0.016

Taking square root,

x = √0.016

x = 0.4

0.4 can be written as 4/10

4/10 = 2/5

So, x = 2/5

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 (iii)**

## Find whether the variable z represents a rational number or irrational numbers : z² = .04

**Summary:**

If a number can be expressed as a fraction where both the numerator and the denominator are integers, the number is a rational number. The variable z represents a rational number

**☛ Related Questions:**

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