Register
X + y is rational, must x and y each be rational
147k views
3 votes
X + y is rational, must x and y each be rational

User Beyondtheteal
by
6.8k points

2 Answers

3 votes
The rationals are closed under addition, so if x,y are rational then x+y must be rational since Q is a group under addition.
User SunChero
by
6.4k points
3 votes
Yes because x and y must be integers
User Mukesh Rana
by
6.9k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

7.8m questions

10.4m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Link Copied!