√12/√3 is not a rational number as √12 and √3 are not integers. Is the given statement true or false? Justify

Solution:

It is given that

√12/√3

We can write it as

= √4 × 3/ √3

We know that √a × b = √a × √b

= √4 × √3/ √3

= 2 × 1

= 2

Which is a rational number

Therefore, the statement is false.

✦ Try This: State whether the following statements are true or false? Justify your answer.

√18/√3 is not a rational number as √18 and √3 are not integers.

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

NCERT Exemplar Class 9 Maths Exercise 1.2 Problem 3(vi)

√12/√3 is not a rational number as √12 and √3 are not integers. Is the given statement true or false? Justify

Summary:

The statement “√12/√3 is not a rational number as √12 and √3 are not integers” is false

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