Concept explainers
To Find:
If x is non-zero rational number and z is irrational number , what can you say about their product.
Answer to Problem 41WE
The product will always be an irrational number.
Explanation of Solution
Concept Used:
Division of two rational numbers is a rational number.
Calculation:
Given :
If x is non-zero rational number and z is irrational number
Aassume that xz is a rational number.
Since x is non-zero rational number and xz is a rational number.
So,
Hence, z is a rational number , which contradicts the given information that z is an irrational number.
So, our assumption that xz is a rational number was wrong.
Hence, xz is an irrational number.
Chapter 6 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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