Question

Is the product or quotient of
arational number and an irrational
number is irrational?​

Answer 1

Answer:  The answer is YES, the rational must not be equal to 0.

Step-by-step explanation:  We are to check whether the product or quotient of a rational and irrational number is irrational.

Let, 'p' be a rational number and '√q' be an irrational number.

Then, the product will be given by

which is irrational, if p ≠ 0.

For example, the product of 2 and √3 is 2√3, an irrational because √3 is irrational.

Also, the quotient is given by

which is irrational since √q is irrational.

The quotient of 2 and √3 is

is irrational.

Thus, the answer is YES, but the rational must be non-zero

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