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

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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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