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  1. 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 …

  2. 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...

  3. 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...

  4. 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 …

  5. 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 …

  6. 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...

  7. 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 …

  8. 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

  9. What is the Sum of Two Irrational Numbers? - Physics Forums

    Feb 14, 2005 · I have a question. I realize that two rational numbers added together equal a rational number and that a rational added to a irrational equal a irrational number; but how do I …

  10. Is Planck's Constant Irrational? - Physics Forums

    Sep 9, 2009 · My maths teacher was talking about irrational numbers and I asked if Planck's constant was one, but he said no. However, I don't understand how this can be...