Concept explainers
To make a conjecture about the sum of a rational number and an irrational number.
Answer to Problem 79HP
Sum of rational and irrational number is irrational and the product also gives the same.
Explanation of Solution
Let us consider a rational number and irrational number.
Suppose let the rational number be 2 and the irrational number be
The sum of the number is
The product of the number is
This is true for any rational and irrational pair.
Conclusion:
Therefore, the sum and product of any rational and irrational number is irrational.
Chapter 7 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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