I will continue with answers and results equal to the square root of 36 ( originally answered at quora.com ). This time the results are mostly related to physics.
With physics one has to take into account the units and the corresponding dimensions of the equations and of the constants.
6 and the square root of 36 are dimentionless numbers , so the result must be dimentionless .
If the result is a simple fraction with numerator and denominator , then the units usually cancel out.
In other cases when one deals with logarithms one should multiply with the inverse dimensions to get a dimentionless result.
In one or two results where I didn’t look for the inverse units I multiplied the equation with a quantity I called (U) , which represents the inverse of the units by which one should multiply the result to get a dimentionless number.
Here are the results :
One possible way to explain what I have done here is the following:
If some people , living on an isolated fictitious island or on an another hypothetical planet , attached a great importance to and had a fixation on the square root of 36 (or the number 6) for one reason or another , and got accustomed to the use of 6 as a fundamental constant , unit or number , then they would have likely tried to construct a system of measurement based on the number 6 , and to express physics and math formulas ,equations , constants and rules in relation to 6.
After all , 6 or is equal to :
- The floor of :
;
- of the circumference of a circle in degrees.
- It is also one tenth of 60 seconds which make up a minute , one tenth of 60 minutes which make up an hour , one fourth of 24 hours which equal a day on Earth , one half of 12 months which make up a year , etc.
- A peculiar ‘hexacentric’ system , so to speak.
Or this can be seen as a (creative) exploration of or exercise in advanced math and physics in order to express many equations , formulas and constants in relation to the number 6 (or ) .
Or whatever.
Apologies to Isaac Newton , Leonhard Euler , Bernhard Riemann , Einstein , Stokes , Coulomb , Avogadro , Lagrange , and others (wherever they may be) , for playing around with their equations , formulas , constants , and/or functions.
And one more addiction to this answer :
Does the future of humanity depend on answering what is the square root of 36 , or not?
Have philosophers from Antiquity to the present overlooked this fundamental question , which goes beyond the Kantian categories of space and time set out in his Critique of Pure Reason , and beyond Nietzsche’s Beyond Good and Evil , ushering the transmutation of all values and a defining moment for a new era in the history of Humankind?
It’s just a square root , for common sense’s sake (or is it?).
Anyway , enough philosophizing.
Here are ( ) more answers to , this time with images :
is equal to :
— The number subjected to a geometric rotation in the following image (done with Mathematica and some Photoshop) :
— The number expressing the power and the coefficients in the equation of the curve in the polar plot below :
— The number expressing the degree of the root and the power of the variables in the 3D plot below :
The rotated number and the polar plotted curve in the first two images above seem to exhibit symmetry.
Symmetry is an very important property in science , math , physics , equations , nature , and wherever it is found.
Online sources and reference works related to what I have written in this answer can be found in my pages about Science books , problem solvers and philosophy books in this site/blog.
Some other online sources:
http://mathworld.wolfram.com/
http://en.wikipedia.org/wiki/Category:Mathematics
http://en.wikipedia.org/wiki/Category:Physics