Binomial expansion with negative exponents

[Sanosuke Sagara]

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

 

[learningphysics]

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 $$\sqrt {\frac{m}{n}}$$ to come out to a fraction or integer. See if you can choose m, n and p now.

 

[quasar987]

You will say "doh!"

[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 $\sqrt{0.25}=0.5$![/tex]

 

[Sanosuke Sagara]

Thanks for your help.I think I now can understand what the question want.