Solution Found!
Suppose a and b are integers that divide the integer c. If
Chapter 0, Problem 6E(choose chapter or problem)
QUESTION:
Suppose a and b are integers that divide the integer c. If a and b are relatively prime, show that ab divides c. Show, by example, that if a and b are not relatively prime, then ab need not divide c.
Questions & Answers
QUESTION:
Suppose a and b are integers that divide the integer c. If a and b are relatively prime, show that ab divides c. Show, by example, that if a and b are not relatively prime, then ab need not divide c.
ANSWER:Step 1 of 4
Given that and are the integers that divide .
This means that for some integers and , we have,
Assuming that and are relatively prime , we can write,