True or False. The sum of ✓4 and ✓5 is irrational.

Question

anonymous · Answer

I don't know whether a decimal is irrational or not by the decimal answers I get in a calculator, like whether they terminate or not

anonymous · Answer

@Mehek14 @MarcoReus11 @anthonyym

anonymous · Answer

@Owlcoffee

anthonyym · Answer

Well first do square root of 4. Is that irrational or rational?

anonymous · Answer

rational right?

anthonyym · Answer

yes it's 2 and it ends there.

anonymous · Answer

ok so

anthonyym · Answer

sqrt5 however I believe is irrational because it continues on in the calculator.

anonymous · Answer

but how many digits does it take for a decimal to be terminating/nonterminating

anonymous · Answer

after the decimal bc i cant tell in the calculator result

anthonyym · Answer

Hm that I don't know. But https://en.wikipedia.org/wiki/Square_root_of_5 says it's irrational.

anonymous · Answer

how can we tell then :( haha guess I have to look them up on google everytime lol

anthonyym · Answer

I guess if it continues for the max number of digits in the calculator then it should be irrational. If you scroll down on that link there's an actual proof and methods of proving irrationality which I haven't learned yet.

anonymous · Answer

ohhh ok thank you

anthonyym · Answer

no problem