What is an irrational number? Give examples.
MathematicsClass 10CBSEAnswered 28 May 2026
Answer
An irrational number is a real number with a non-terminating, non-repeating decimal expansion cannot be expressed as p/q.
| Number | Value (approx.) |
|---|---|
| √2 | 1.41421356... |
| √3 | 1.73205080... |
| π | 3.14159265... |
| e | 2.71828182... |
Note: √4 = 2 is rational. Only square roots of non-perfect squares are irrational.
An irrational number has a decimal that never ends and never repeats, and cannot be written as any fraction p/q.
Suggested Q&A
Mathematics · Class 10- MathematicsClass 10What is a composite number? Give examples.
- MathematicsClass 10What are even numbers?
- MathematicsClass 10What are natural numbers?
- MathematicsClass 10What is the greatest 7-digit number?
- MathematicsClass 10What is the angle formed by one-fourth of a revolution?
- MathematicsClass 10What is the value of 3³?