Answer:
The product of a nonzero rational number and an irrational number is:
C) is an irrational number
Step-by-step explanation:
We know that:
- The product of two rational number is always an rational number.
- The product of a rational number and a irrational number is always a irrational number if the rational number is non-zero otherwise it is equal to zero and hence leads to a rational number.
- Also, the product of two irrational number may be a rational number of irrational number.
For example-- [tex]\sqrt{2}\times \sqrt{3}=\sqrt{6}[/tex] is a irrational number.
and [tex]\sqrt{2}\times \sqrt{2}=2[/tex] which is a rational number.
Hence, the answer is:
Option: C
