A)The product of two rational numbers is always irrational.
B)The sum of a rational number and an irrational number is always irrational.
C)The product of a nonzero rational number and an irrational number is always irrational.
D)The product of two irrational numbers is either rational or irrational.
Product of 2 rational number is always rational. Rational number is number which can be represented as ratio which both numerator and denominator are finite whole numbers. If you multiply 2 finite numbers you wiill get 2 finite numbers.
B is true because infinite + finite is infinite (talking about numerators)
C simillar case as B. infinite * finite is infinite
D is true as well. for example √2*√2 is rational number. it is number 2. while √2*√3 is irational.
