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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