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Math Help - Urgent!!!!!!!!

  1. #1
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    Urgent!!!!!!!!

    5. Use the binomial expansion to evaluate, root 26 to five decimal places.
    Hint: Express 26 as 5^2 + 1

    6. is root y^2 + z^2? Motivate your answer.
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  2. #2
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by t.sigenu View Post
    5. Use the binomial expansion to evaluate, root 26 to five decimal places.
    Hint: Express 26 as 5^2 + 1

    6. is root y^2 + z^2? Motivate your answer.
    5. You mean \sqrt{26}?

    hint: (1+x)^m = 1 + mx + \frac{m(m-1)}{2!} x^2 + \frac{m(m-1)(m-2)}{3!} x^3 + ...
     + \frac{m(m-1)(m-2)...(m-(k-1))}{k!}x^{k} + ...

    so, (1+5^2)^{1/2}.. let x = 5^2 and m = \frac{1}{2}
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  3. #3
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    I don't understand.

    Why do you let "m" a half?
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  4. #4
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    Quote Originally Posted by t.sigenu View Post
    Why do you let "m" a half?
    x^\frac12 = \sqrt{x}
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