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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