Question

Check please? :) http://prntscr.com/dl3vig

Answer 1

@zepdrix :3

Answer 2

hmmm thought you were asking for the restaurant bill
so I was going to hand you one plus 35% tips =)

Answer 3

Hahaha, I don't get you. :p
So I'm correct? :P

Answer 4

so hmmmm what makes say hmmm \(\sqrt{6}\ and\ \sqrt{2}\) examples of 1) and 2) closed under addition anyway?

Answer 5

first off, what "closed under addition" mean anyway?
they don't like being added, so they closed each other to that

Answer 6

bear in mind that \(\bf {\color{brown}{ \sqrt{2} }}\impliedby irrational
\\ \quad \\
\sqrt{6}\implies \sqrt{3\cdot 2}\implies \sqrt{3}\cdot {\color{brown}{ \sqrt{2} }}\)

Answer 7

Sorry, I'm back now!
Let me check. :)

Answer 8

Oh...
So it's all of them
got it :)

Answer 9

:O

Answer 10

zeppyyyyy lol
i don't really have a clue
But my teacher went over this before and she also had struggles haha

Answer 11

oh boy XD

Answer 12

hehehe
hmm what does "closed under addition" mean though?

Answer 13

May I use google? :p

Answer 14

sure thing

Answer 15

So a set is closed under addition if the sum of any two elements in the set is also in the set. For example, the real numbers R have a standard binary operation called addition (the familiar one). Then the set of integers Z is closed under addition because the sum of any two integers is an integer.

Answer 16

nice paste jabez1777 oooook, what does that mean?

Answer 17

one would note that copy/paste simple means, "this is what I read verbatim"
not "this is what I understand"

Answer 18

@jabez1777 anyhow, http://www.mathsisfun.com/sets/closure.html <-- this may help clearing out that some

then you'll who may or may not be closed under addition
keep in mind you're asked on "rational" numbers

Answer 19

Close under addition will mean that the sum of two numbers inside of a space belongs to the space itself.

Answer 20

Given two numbers in the form of a/b and c/d where a,b,c and d belong to R the sum a/b + c/d belongs to the rationals.

Answer 21

Okay now this is confusing the daylight out of me! hahahaha
Let me try and understand it ugh lol

Answer 22

well
ahemm.... closed under addition, as I understood from that article is
two or more, items added, both items being of the same "GENRE', will yield a result of the same "GENRE"
so, two integers will produce an integer result
two rationals will produce a rational result

bear in mind that \({\color{brown}{ \sqrt{2} }}\impliedby irrational
\\ \quad \\
\sqrt{6}\implies \sqrt{3\cdot 2}\implies \sqrt{3}\cdot {\color{brown}{ \sqrt{2} }}
\)

Answer 23

This is the worst analogy ever, but I'm gonna go with it lol