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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