Question about Binomial expansion.

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  • Thread starter Thread starter Sanosuke Sagara
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    Binomial Expansion
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Discussion Overview

The discussion revolves around a question related to binomial expansion, specifically focusing on the selection of parameters in a mathematical expression to simplify a square root. The scope includes mathematical reasoning and problem-solving strategies.

Discussion Character

  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant shares a problem attachment related to binomial expansion.
  • Another participant suggests choosing values for m, n, and p such that p is small compared to m and n, and emphasizes the importance of the result being a fraction.
  • A further reply provides a specific example using m=100, n=400, and p=1, referencing the square root of a fraction.
  • A participant expresses gratitude and indicates an improved understanding of the question after the suggestions.

Areas of Agreement / Disagreement

The discussion appears to be collaborative, with participants providing hints and guidance, but no explicit consensus or resolution is reached regarding the original problem.

Contextual Notes

Participants have not fully elaborated on the assumptions or definitions related to the parameters m, n, and p, and the mathematical steps leading to the proposed solutions remain unresolved.

Who May Find This Useful

Students or individuals interested in binomial expansion, mathematical problem-solving, or those seeking assistance with similar homework questions may find this discussion useful.

Sanosuke Sagara
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I have my question and my problem in the attachment that followed.
 

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Sanosuke Sagara said:
I have my question and my problem in the attachment that followed.

Looks like you've already done the tough part. Hint: You want to choose m, n and p so that p is really small compared to m and n. Also, you want the result to be a fraction, so you want [tex]\sqrt {\frac{m}{n}}[/tex] to come out to a fraction or integer. See if you can choose m, n and p now.
 
You will say "doh!" :wink:

[tex]\sqrt{\frac{101}{401}} = \sqrt{\frac{100+1}{400+1}}[/itex]<br /> <br /> Use your formula with m=100, n=400 and p=1 and the fact that [itex]\sqrt{0.25}=0.5[/itex]![/tex]
 
Thanks for your help.I think I now can understand what the question want.
 

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