Whats the best way to show this?

  • Context: High School 
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Discussion Overview

The discussion revolves around the best way to represent the 1.16 root of x, specifically comparing two notations: the radical form \(\sqrt[1.16]{x}\) and the exponent form \(x^{\frac{1}{1.16}}\). The scope includes mathematical reasoning and notation preferences.

Discussion Character

  • Debate/contested

Main Points Raised

  • Some participants argue that both notations are equivalent but express a preference for \(x^{\frac{1}{1.16}}\) due to its clarity and ease of use in calculations.
  • One participant prefers the radical form \(\sqrt[1.16]{x}\) because it is less common and recently learned how to represent it in LaTeX.
  • Another participant suggests that using the exponent form is more practical for calculations, as it simplifies the process when using a calculator.
  • There is a consensus among several participants that the exponent form is more versatile for inclusion in equations and polynomials.

Areas of Agreement / Disagreement

Participants generally agree that both notations are valid, but there is a division in preference, with some favoring the exponent form and others the radical form. The discussion remains unresolved regarding which notation is definitively better.

rollcast
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I need to take the 1.16 root of x, do I show it as;

a) [itex]\sqrt[1.16]{x}[/itex]

OR

b) [itex]x^{\frac{1}{1.16}}[/itex]Thanks
AL
 
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they're both exactly the same, but I would say b) is easier to work with and gets your point across more clearly.
 
I like (a), but that's only because I almost never see it, and I didn't know how to do it in latex until just now.
 
To use a calculator for a certain value of x, 1. leads to 2., so use 2. without worrying about root symbols.
 
yeah, I vote for b), too. More general and lends itself for easy inclusion into equations, polynomials, etc.
 

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