Which of the following are irrational numbers: 2, 3.14, π, √9?
Which of the following are irrational numbers: 2, 3.14, π, √9?
Aniket Singh , 9 Months ago
Grade
10 grade maths> Which of the following are irrational num...
1 AnswersAskiitians Tutor Team
Last Activity: 9 Months ago
An irrational number is one that cannot be expressed as a ratio of two integers, i.e., it has a non-terminating, non-repeating decimal expansion.
Let's examine the numbers:
- **2**: This is a rational number because it can be expressed as the fraction \( \frac{2}{1} \).
- **3.14**: This is a rational number because it is a terminating decimal and can be written as \( \frac{314}{100} \).
- **π (pi)**: This is an irrational number because it is a non-terminating, non-repeating decimal.
- **√9**: This is equal to 3, which is a rational number because it can be expressed as \( \frac{3}{1} \).
So, the **irrational number** in the list is **π**.
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