Substitute x=1100 into the binomial expansion in part a and hence obtain an approximation to √(97). Give your answer to 5 decimal places.
Added by Sonia J.
Step 1
009)^{1/2} up to the term containing x^2. Using the binomial theorem, we have: (1+0.009)^{1/2} = 1 + (1/2)(0.009) - (1/8)(0.009)^2 + ... The first term is just 1, and the second term is (1/2)(0.009) = 0.0045. The third term is -(1/8)(0.009)^2 = -0.0000050625. We Show more…
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