Question

the product of a nonzero rational number and an irrational number. A) is a rational number B) is underlined C) is an irrational number D) cannot be determined without more information

Answer 1

C) is an irrational number

Answer 2

The product of a nonzero rational number and an irrational number is:

C) is an irrational number

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--
`√(2)* √(3)=√(6)` is a irrational number.

and
`√(2)* √(2)=2` which is a rational number.

Hence, the answer is:

Option: C