Rational & Irrational Numbers

[nycmathguy]

Set 1.1

 

[MathLover1]

correct

 

[HallsofIvy]

I am afraid that you and mathlover1 are both misreading the problem! The problem specifically said that a and b must both be irrational numbers! 3 and 4 are of course rational. An example of two irrattional numbers whose some is rational is are a= sqrt{3} and b= -\sqrt{3}. Another example is 5+ 3sqrt{7} and 8- 3sqrt{7}.

 

[MathLover1]

I am afraid that you and mathlover1 are both misreading the problem! The problem specifically said that a and b must both be irrational numbers! 3 and 4 are of course rational. An example of two irrattional numbers whose some is rational is are a= sqrt{3} and b= -\sqrt{3}. Another example is 5+ 3sqrt{7} and 8- 3sqrt{7}.

you are right, a and b must both be irrational numbers......thank you (it happens sometimes, English is not my native language)

 

[nycmathguy]

I am afraid that you and mathlover1 are both misreading the problem! The problem specifically said that a and b must both be irrational numbers! 3 and 4 are of course rational. An example of two irrattional numbers whose some is rational is are a= sqrt{3} and b= -\sqrt{3}. Another example is 5+ 3sqrt{7} and 8- 3sqrt{7}.

I thank you for pointing out my error.

 

[HallsofIvy]

you are right, a and b must both be irrational numbers......thank you (it happens sometimes, English is not my native language)

Your English is far better than my (put pretty much any language here- maybe even English).

 

[MathLover1]

Your English is far better than my (put pretty much any language here- maybe even English).

Thank you very much for kind words. What is your native language?

 

[HallsofIvy]

Thank you very much for kind words. What is your native language?

English! (and native English speakers are notoriously bad at it.)

 

[MathLover1]

agree that some are notoriously bad at it, but not you
I assume you are math teacher, am I right?