The product of a non-zero rational and an irrational number is
a. always irrational
b. always rational
c. rational or irrational
d. one

Solution:

It is given that,

Product of a non-zero rational and an irrational number is always irrational.

Therefore, the answer is a. always irrational

✦ Try This: Is the product of a rational and irrational number always irrational? Give an exampleThe product of rational and irrational numbers is an irrational number

If a is a rational number and b is an irrational number

Then ab is irrational.

Example: a = 2 and b = √3

ab = 2 √3

2 √3 is an irrational number.

Therefore, the product of a rational and irrational number is always irrational

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 1

NCERT Exemplar Class 10 Maths Exercise 1.1 Problem 8

The product of a non-zero rational and an irrational number is a. always irrational, b. always rational, c. rational or irrational, d. One

Summary:

The product of a non-zero rational and an irrational number is always irrational

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