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

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

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

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 $m = \frac{1}{2}$

3. ## I don't understand.

Why do you let "m" a half?

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