Hey guys im glad i found this site!

With a and b as irrationals, is it possible for their sum or difference to be rational? Give a convincing argument for your response.

Is it possible for a^b to be rational? Give a convincing argument.

Printable View

- April 17th 2008, 06:51 PMBradley55Just a another one of those problems :)
Hey guys im glad i found this site!

With a and b as irrationals, is it possible for their sum or difference to be rational? Give a convincing argument for your response.

Is it possible for a^b to be rational? Give a convincing argument. - April 17th 2008, 07:00 PMIsomorphism
Hey guys im glad i found this site!

With a and b as irrationals, is it possible for their sum or difference to be rational? Give a convincing argument for your response.

Is it possible for a^b to be rational? Give a convincing argument.

- April 17th 2008, 07:27 PMBradley55
Im not sure my teacher would let me right E Q in my anwser because i have no idea what that means

- April 17th 2008, 08:31 PMmr fantastic
Q is the symbol for rational numbers.

E is the symbol for "is an element of".

All Isomorphism is saying with this notation is that 0 and 4 are rational numbers ......

Isomorphism has given you a couple of examples of values of a and b that clearly and convincingly show the answer to both questions is yes.

(For the second part, "Is it possible for a^b to be rational", if your teacher wants you to*prove*that is irrational, just smirk and refer him/her to the Gelfond-Schneider Theorem ......)