√2/3 is a rational number. Is the given statement true or false? Justify

Solution:

A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.

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.

√2 is an irrational number

3 is a rational number

We know that

If an irrational number is divided by a rational number, we get an irrational number.

Therefore, the statement is false.

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

√5/7 is a rational number

√5 is an irrational number

7 is a rational number

We know that

If an irrational number is divided by a rational number, we get an irrational number.

Therefore, the statement is false.

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

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

√2/3 is a rational number. Is the given statement true or false? Justify

Summary:

If an irrational number is divided by a rational number, we get an irrational number. The statement “√2/3 is a rational number” is false

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