Jul 20, 2018 · Proof by contradiction that cube root of 2 is irrational: Assume cube root of 2 is equal to a/b where a, b are integers of an improper fraction in its...

Nov 24, 2007 · Homework Statement Prove that log2 of 5 is irrational. Homework Equations None. The Attempt at a Solution I just had a glimpse of the actual solution...

Dec 28, 2016 · Undergrad Irrational numbers aren't infinite. are they? CollinsArg Dec 28, 2016 Infinite Irrational Irrational numbers Numbers Pi

Mar 13, 2005 · Can someone prove that there exists x and y which are elements of the reals such that x and y are irrational but x+y is rational? Certainly, there are an infinite number of examples (pi/4 + …

Feb 17, 2010 · Irrational Numbers and Real Life I need 6 answers jmlink Feb 17, 2010 Irrational Irrational numbers Life Numbers Click For Summary

Oct 4, 2011 · Homework Statement F (x) = x if x is rational, 0 if x is irrational. Use the δ, ε definition of the limit to prove that lim (x→0)f (x)=0. Use the δ, ε...

Jan 6, 2012 · Homework Statement Prove If x^2 is irrational then x is irrational. I can find for example π^2 which is irrational and then π is irrational but I don't know how to approach the proof. Any hint?

Dec 19, 2015 · There is no such thing as a closest rational to an irrational number. Also, each non-empty interval in ##\mathbb R## contains infinitely many rational numbers and infinitely many …

Jul 29, 2010 · Homework Statement Show that the irrational numbers are dense in R. [Hint: Use the fact that sqrt(2) is irrational.]Homework Equations Book already proved that the rationals are dense in …

Jan 13, 2017 · Homework Statement True or false and why: If a and b are irrational, then ##a^b## is irrational. Homework Equations None, but the relevant example provided in the text is the proof of …