Question

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

• A. Irrational number
• B. Rational number
• C. Whole number
• D. Natural number

Answer 1

Answer: (A)

Irrational number

By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats.

By multiplying a non repeating non terminating number to repeating or terminating/repeating number, the result will always be a non terminating non repeating number.

So, option A is correct.