CONSTRUCTIONS of a+b,ab,a/b,a-b, a^(1/2)

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The discussion focuses on the construction of arithmetic operations involving constructible numbers using a ruler and compass, specifically for the expressions a+b, ab, a/b, a-b, and a^(1/2) where a and b are positive. The user seeks guidance on how to begin these constructions, indicating an understanding that a number is constructible if it represents the distance between two constructible points. The conversation emphasizes the importance of visualizing points a and b as vectors to facilitate the construction process.

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  • Understanding of constructible numbers and their properties
  • Familiarity with geometric constructions using a ruler and compass
  • Basic knowledge of vector representation in geometry
  • Knowledge of arithmetic operations and their geometric interpretations
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Students of geometry, mathematicians interested in constructible numbers, and educators teaching geometric constructions using traditional tools.

calvino
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i'm suppose to show how to construct each of the following:

a+b,ab,a/b,a-b, a^(1/2) ... a,b >0

This has to do with constructible numbers using the ruler and compass.

So i know that a number is constructible if it the distance (or negative distance) between two constructible points, but I suppose I don't really need such a fact. hmm... SO how do i start this? Can I just look at points a, and b as vectors. I'm sure if I get help with a+b, I can start working on the rest. thanks..
 
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sorry..i posted in the wrong section. I will repost in another...CLOSED
 

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