Question

The sum or product of a non-zero rational number and an irrational number is always

Answer 1

Answer:

Irrational

Step-by-step explanation:

A rational number and an irrational number when added will given another irrational number only.

Example consider a rational number 2 and an irrational number √3.

When we add these two we get

2+√3. an irrational number only

There is no chance of getting a rational number when a non zero rational and irrational is added.  In other words, there is nothing to cancel the irrational part when another rational number is added.

Hence the result would be irrational

Thus answer is irrational.