Extended binomial theorem

  • Thread starter talolard
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  • #1
talolard
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Homework Statement



Calculate [tex] \sqrt{1/20} [/tex] using the extended binomial theormem. (a precision of k=4 is enough)


The Attempt at a Solution



[tex] \sqrt{1/20}= (1 + (-19/20) )^{1/2}= \sum( choose (1/2,k)*(-19/20)^k) = 1- 1/2*19/20-1/8*361/400+1/16*6589/8000 = 0.72... [/tex] is wrong.

Homework Statement




Where is my mistake?
Thanks
Tal

Homework Equations





The Attempt at a Solution


Homework Statement





Homework Equations





The Attempt at a Solution


Homework Statement





Homework Equations





The Attempt at a Solution


Homework Statement





Homework Equations





The Attempt at a Solution


Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
vela
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Homework Statement



Calculate [tex] \sqrt{1/20} [/tex] using the extended binomial theormem. (a precision of k=4 is enough)


The Attempt at a Solution



[tex] \sqrt{1/20}= (1 + (-19/20) )^{1/2}= \sum( choose (1/2,k)*(-19/20)^k) = 1- 1/2*19/20-1/8*361/400+1/16*6589/8000 = 0.72... [/tex] is wrong.

Homework Statement




Where is my mistake?
Thanks
Tal
You made a simple sign mistake somewhere, it seems.
 

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