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 …
Can a polynomial have an irrational coefficient? - Physics Forums
Jan 12, 2022 · Is this a polynomial? y = x^2 + sqrt(5)x + 1 I was told NO, the coefficients had to be rational numbers. I this true? It seem to me this is an OK polynomial. I can graph it and use the …
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...
Proof that Log2 of 5 is irrational - Physics Forums
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...
Natural constants: are they irrational numbers? - Physics Forums
Dec 12, 2010 · Do we have at present any knowledge whether our natural constants (gravity constant, Planck's constant, ...) are rational or irrational numbers? Thanks...
Irrational numbers aren't infinite. are they? • Physics Forums
Dec 28, 2016 · I Irrational numbers aren't infinite. are they? CollinsArg Dec 28, 2016 Infinite Irrational Irrational numbers Numbers Pi
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 …
Constructing Lengths with Irrational Numbers - Physics Forums
Dec 6, 2004 · The discussion centers on the nature of irrational numbers and their existence in the physical world, questioning how lengths like the hypotenuse of a right triangle can be …
Sequence of rationals converging to an irrational limit
Aug 23, 2009 · As another illustration, I understand that if a sequence (s_n) given as s_n = \sqrt {2} + 1/n is a sequence of IRRATIONAL numbers converging to an IRRATIONAL limit.
How Do We Know If Irrational or Transcendental Numbers Repeat?
Mar 25, 2014 · The discussion centers on the nature of irrational and transcendental numbers, specifically whether they can have repeating decimal expansions. It is established that …