Question

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

Answer 1

Answer:

Here's your answer

Step-by-step explanation:

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

Suppose a is rational (and non-zero) and x is irrational. Suppose ax is rational;

write ax = b where b is rational.

Then x = b/a, and x would be rational, contradiction. Hence the product is always irrational.

Hope you understand.