Which of the following statements is false?

The sum of two rational numbers is always rational.
The sum of a rational number and an irrational number is always rational.
The product of a nonzero rational number and an irrational number is always irrational.
The product of two irrational numbers is either rational or irrational.

Question

Which of the following statements is false?

 The sum of two rational numbers is always rational.
 The sum of a rational number and an irrational number is always rational.
 The product of a nonzero rational number and an irrational number is always irrational.
 The product of two irrational numbers is either rational or irrational.

oswaldmurphy · Answer

@TheSmartOne

thesmartone · Answer

anything irrational and rational will always be irrational

rational and rational will always be rational

irrational and irrational depends because sqrt(2) * sqrt(2) = 2 which is rational, but sqrt(2) * sqrt(3) is sqrt(6) which is irrational