SOLUTION: which of the following statements is false? a)the sum of two rational number and an irrational number is irrational b)the sum of two rational numbers is rational c)the pr

Question 941145: which of the following statements is false?
a)the sum of two rational number and an irrational number is irrational

b)the sum of two rational numbers is rational
c)the product of a nonzero rational number and an irrational number is rational
d)the product of two rational number is rational

Found 2 solutions by Fombitz, amalm06:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
c) The product of a non-zero rational and irrational number is always irrational.
Answer by amalm06(224) (Show Source): You can put this solution on YOUR website!
1 is a rational number, since 1=1/1 and 1∈Z.

But (1/1)*π=π, again an irrational number.

The answer is c)
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