√15/√3 is written in the form p/q, q ≠ 0 and so it is a rational number. Is the given statement true or false? Justify

Solution:

It is given that

√15/√3

We can write it as

= √5 × 3/ √3

We know that √a × b = √a × √b

= √5 × √3/ √3

= √5

Which is an irrational number.

Therefore, the statement is false.

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

√12/√2 is written in the form p/q, q ≠ 0 and so it is a rational number.

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

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

√15/√3 is written in the form p/q, q ≠ 0 and so it is a rational number. Is the given statement true or false? Justify

Summary:

The statement “√15/√3 is written in the form p/q, q ≠ 0 and so it is a rational number” is false

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