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# 3√18. Classify the following number as rational or irrational with justification

**Solution:**

It is given that

3√18

We can write it as

= 3 √3² × 2

By further simplification

= 3 × 3√2

= 9√2

Which is an __irrational number__

Therefore, the given number is an irrational number.

**✦ Try This: **Classify the following numbers as rational or irrational with justification: 2√8

It is given that

2√8

We can write it as

= 2 √2² × 2

By further simplification

= 2 × 2√2

= 4√2

Which is an irrational number

Therefore, the given number is an irrational number.

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 1

**NCERT Exemplar Class 9 Maths Exercise 1.2 Problem 4(ii)**

## 3√18. Classify the following number as rational or irrational with justification

**Summary**:

When any irrational numbers are multiplied by any nonzero rational number, their product is an irrational number. 3√18 is an irrational number

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