which of the statements is true? A) the sum of two irrational numbers is always irrational. b) the product if two irrational numbers is sometimes rational. c) the profuct of a rational number and an irrational number is sometimes rational. d) the sum of two rational numbers is sometimes irrational​

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Option (B) Product of a rational and an irrational number is always irrational is correct.  

 

Some useful results on irrational numbers :  

The SUM of a rational number and an irrational number is an irrational number.

The difference of rational numbers and an irrational number is an irrational number.

The sum, difference, product and quotient of two irrational numbers need not  be an irrational number