irrational = rational - Physics Forums
Mar 13, 2005 · Assume that the difference between a rational number and an irrational number is an irrational number. The sum of any such two irrational numbers would be a rational number.
Irrational numbers aren't infinite. are they? • Physics Forums
Dec 28, 2016 · While decimal representations of irrational numbers are non-repeating and infinite, there are indeed an infinite number of irrational numbers, which are uncountable compared to …
Is Pi divided by E rational, and what other irrational numbers exist ...
Aug 1, 2012 · Does anyone know if it has ever been proved that pi divided e, added to e, or any other mathematical operation combining these two irrational numbers is rational. Another thing …
Can a polynomial have an irrational coefficient? - Physics Forums
Jan 12, 2022 · A polynomial can indeed have irrational coefficients, as demonstrated by the example y = x^2 + sqrt (5)x + 1. The confusion arises from historical conventions where …
Showing that tan(1) is irrational - Physics Forums
Feb 11, 2019 · Homework Statement Prove that tan (1 ∘) is irrational. Homework Equations The Attempt at a Solution Suppose for contradiction that tan (1 ∘) is rational. We claim that this …
Proof that cube roots of 2 and 3 are irrational • Physics Forums
Jul 20, 2018 · The discussion centers on proving the irrationality of the cube roots of 2 and 3. The proof for the cube root of 2 uses a contradiction approach, showing that assuming it can be …
Can the ratio of two irrationals be rational? • Physics Forums
Sep 13, 2003 · The discussion centers on whether the ratio of two irrational numbers can be rational. It establishes that while any irrational number multiplied by a nonzero integer remains …
If a, b are irrational, then is ##a^b## irrational? - 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 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...
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 …
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