Concept explainers
To find: the statement which is true.
Answer to Problem 12CCSR
The statement F is always true.
Explanation of Solution
Given information:
Given statements are,
F. The product of a nonzero rational number and an irrational number is irrational.
G. The product of two rational numbers is irrational.
H. The sum of a rational number and an irrational number is rational.
I. The sum of two rational numbers is irrational.
Calculation:
Assume
Where
Then,
By division,
Since integers are closed under multiplication,
Hence, the product of a non zero rational number and an irrational number is a irrational number.
So, the statement F is always true.
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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