
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 …
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...
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 …
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 …
Proving Root n is Irrational: Perfect Square Affects Proof
Feb 6, 2011 · How to prove that root n is irrational, if n is not a perfect square. Also, if n is a perfect square then how does it affect the proof.
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...
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...
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 …
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 …
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