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√12/√75. Classify the following numbers as rational or irrational with justification

Solution:

It is given that

√12/√75

We can write it as

= √4 × 3/ √25 × 3

So we get

= 2√3/ 5√3

= 2/5

Which is a rational number

Therefore, the given number is a rational number.

✦ Try This: Classify the following numbers as rational or irrational with justification: √27/√108

It is given that

√27/√108

We can write it as

= √9 × 3/ √36 × 3

So we get

= 3√3/ 6√3

= 3/6

= 1/2

Which is a rational number

Therefore, the given number is a rational number.

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

NCERT Exemplar Class 9 Maths Exercise 1.2 Problem 4(vi)

√12/√75. Classify the following numbers as rational or irrational with justification

Summary:

If a number can be expressed as a fraction where both the numerator and the denominator are integers, the number is a rational number. √12/√75 is a rational number

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