How to simplify: ((sqrt3)/3)+1 /(1-(sqrt3)/3)

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Homework Help Overview

The discussion revolves around simplifying the expression \(\frac{(\sqrt{3}/3) + 1}{1 - (\sqrt{3}/3)}\), which involves algebraic manipulation and rationalization of the denominator.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the method of rationalizing the denominator and explore the implications of multiplying by a form of one to simplify the expression.

Discussion Status

Some participants have provided guidance on rationalizing the denominator, while others are attempting to clarify their understanding of the steps involved in the simplification process. Multiple interpretations of the approach are being explored.

Contextual Notes

There may be constraints related to the rules of simplification in the context of homework assignments, though these are not explicitly stated in the discussion.

TyErd
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ok, how do you simplify:

((sqrt3)/3)+1 /(1-(sqrt3)/3)
 
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Rationalize the denominator.
 


sooo is it...((sqrt3)/3)+1 /(1-(sqrt3)/3) * (1+(sqrt3)/3)/(1+(sqrt3)/3) ?
 


Yes. What you are doing is multiplying by 1 (in the form (1+(sqrt3)/3)/(1+(sqrt3)/3)). You can always multiply by 1 without changing the value of the expression being multiplied.
 

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