A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
assume that Assume a and b are nonzero rational numbers and c is an irrational number. For each of the following expressions, determine whether the result is irrational, rational, or both. Justify your answers.
a(b + c)
I think its irrational??
anonymous
 one year ago
assume that Assume a and b are nonzero rational numbers and c is an irrational number. For each of the following expressions, determine whether the result is irrational, rational, or both. Justify your answers. a(b + c) I think its irrational??

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok I am wondering how to explain that?

dan815
 one year ago
Best ResponseYou've already chosen the best response.1rational + irrational = irrational and constants * irrational you can think of as adding irrational to itself multiple times for example 2*irrational = irrational+irrational 3*irrational = irrational + irrational + irrational

dan815
 one year ago
Best ResponseYou've already chosen the best response.1this fits into our first 3 rules we chose

dan815
 one year ago
Best ResponseYou've already chosen the best response.1irrational + irrational = irrational rational + irrational = irrational rational+rational = rational

dan815
 one year ago
Best ResponseYou've already chosen the best response.1just prove those 3 statements to yourself and then you can use those properties and time you want

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I see. thank you I was having a hard time understanding. Thank you so much

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So if we throw a radical in there how does it change?

dan815
 one year ago
Best ResponseYou've already chosen the best response.1also another useful thing you will need for your next question sqrt(prime) = irrational the square root of a prime number is irrational you can prove this by a contradiction suppose sqrt(prime) = rational sqrt(prime)=a/b, where a and b is the lowest fraction possible meaning gcd(a,b)=1 then prime = a^2/b^2 then b^2prime=a^2 but this means there are an odd number of factors on the left and and even number of prime factors on the right this is a contradiction, ergo the srt of a prime is not rational but irrational

dan815
 one year ago
Best ResponseYou've already chosen the best response.1some of thoses steps are not obvious at first sight, you might beed to investigate some of those steps further to make sense of it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442966361745:dw So this too would be irrational?

dan815
 one year ago
Best ResponseYou've already chosen the best response.1ah in this case no because you can expand the squareroot over it

dan815
 one year ago
Best ResponseYou've already chosen the best response.1heres the thing irrational^k irrational to the powers of something can be irrational or not that is a different queston

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohh so there's a rule for that too?

dan815
 one year ago
Best ResponseYou've already chosen the best response.1gotta figure out the rules lol

dan815
 one year ago
Best ResponseYou've already chosen the best response.1the 3 rules i showed u earlier are just some rules i made up for you start with

dan815
 one year ago
Best ResponseYou've already chosen the best response.1because they are easy to prove and easy to use in proving other stuff

dan815
 one year ago
Best ResponseYou've already chosen the best response.1to see why we can expand like this you can write it out

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Gwash its so complicated. thank you so much. I am so stupid when it comes to rationals

dan815
 one year ago
Best ResponseYou've already chosen the best response.1oh dont worry its simple once u understand some more stuff
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.