Question

The product of any two irrational numbers is

(a) always an irrational number 

(b) always a rational number

(c) always an integer 

( d) sometimes rational, sometimes irrational

Answer 1

(d) We know that, the product of any two irrational numbers is sometimes rational and sometimes irrational.

e.g., √2 x √2 = 2 (rational) and √2 x √3 = √6 (irrational)