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

Algebra ->  Real-numbers -> 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      Log On


   

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) About Me  (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) About Me  (Show Source):
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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)