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7 grade maths

Classify the following number as rational and irrational. √1.44

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To classify the number \(\sqrt{1.44}\) as rational or irrational, let's go through the following steps:

1. **Find the square root of 1.44:**
\(\sqrt{1.44} = 1.2\)

2. **Determine if 1.2 is rational or irrational:**
- A **rational number** is a number that can be expressed as the ratio of two integers (i.e., a fraction).
- An **irrational number** cannot be expressed as a ratio of two integers and has a non-repeating, non-terminating decimal.

Since \(1.2\) can be written as \( \frac{6}{5} \), which is a ratio of two integers, it is a **rational number**.

**Conclusion:**
The number \(\sqrt{1.44}\) is a **rational number**.