1. ## Binomial series

I'm completely stuck on the question, Find the square root of 51 correct to 4dp using binomail series. Ive attempted this but clearly made a serious error somewhere because the numbers get very large indeed.
Any help would be great

2. Originally Posted by verlindenl
Find the square root of 51 correct to 4dp using binomial series.
$\sqrt{51} = \sqrt{49+2} = 7\sqrt{1+(2/49)}$. Use the binomial expansion of $(1+x)^{1/2}$ with x = 2/49. The terms will get small quite rapidly, so you should not need very many to get within 4dp accuracy. (Don't forget to multiply by 7 at the end to get the correct answer.)

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### binomial of âˆš26

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