irrational = rational - Physics Forums
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 + …
Is a + (1/√2) (b-a) Irrational? - Physics Forums
Apr 26, 2012 · It is "fair to say that \sqrt {2} is irrational" if that has already been proven. If not, as I said, it is easier to prove than this number, using the same ideas as you did: if \sqrt {2} were rational, we …
Proof that cube roots of 2 and 3 are irrational - Physics Forums
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...
Showing that tan(1) is irrational - Physics Forums
Feb 11, 2019 · Homework Statement Prove that ##\tan (1^\circ)## is irrational. Homework EquationsThe Attempt at a Solution Suppose for contradiction that ##\tan...
Square Root of an Irrational Number is Irrational - Physics Forums
Feb 23, 2012 · Homework Statement Let a be a positive real number. Prove that if a is irrational, then √a is irrational. Is the converse true? Homework Equations So, an irrational number is one in which …
Prove If x^2 is irrational then x is irrational - Physics Forums
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?
Irrational Numbers and Real Life I need 6 answers - Physics Forums
Feb 17, 2010 · Irrational Numbers and Real Life I need 6 answers jmlink Feb 17, 2010 Irrational Irrational numbers Life Numbers Click For Summary
Prove or disprove that there is a rational number x and an i
Jan 25, 2019 · The discussion centers on proving or disproving the existence of a rational number x and an irrational number y such that x^y is irrational. Participants suggest that proof by contradiction is a …
If a, b are irrational, then is - Physics Forums
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 …
Irrational numbers aren't infinite. are they? - Physics Forums
Dec 28, 2016 · Undergrad Irrational numbers aren't infinite. are they? CollinsArg Dec 28, 2016 Infinite Irrational Irrational numbers Numbers Pi