Question

Which of the following statement is true? 

A. Product of two irrational numbers is always irrational. 

B. Product of a rational and an irrational number is always irrational. 

C. Sum of two irrational numbers can never be irrational. 

D. Sum of an integer and a rational number can never be an integer.

Answer 1

Example: Take any rational number other than Zero let’s take 2 as rational number and√2 as irrational number than product as:

= \(2\times\sqrt2\) = \(2\sqrt2\)

\(2\sqrt2\) is irrational number so if we can say that if rational number other than zero product with any irrational number the result is also irrational.