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√(9/27). Classify the following number as rational or irrational with justification

Solution:

It is given that

√(9/27)

We can write it as

= √(9/ 9 × 3)

= √(1/3)

= 1/√3

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: √(4/8)

It is given that

√(4/8)

We can write it as

= √(4/ 4 × 2)

= √(1/2)

= 1/√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(iii)

√(9/27). Classify the following number as rational or irrational with justification

Summary:

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. √(9/27) is an irrational number

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