### 10 Answers

- 3 weeks ago
I assume you do have a calculator so we will approximate sqrt 200. First let f(x) = sqrt(x). We need to find a value a at which we can easily take the square root. The square root of 196 is 14 and 196 is close to 200 so it will suffice. We will take the 3rd degree Taylor polynomial to approximate sqrt(200). For 3rd degree we find f(x) ~ f(a) + f’(x-a)+(f’’(x-a)^2)/2!. Plug in number and f(sqrt200) ~ 14 + 1/28 -1/(sqrt(196^3)) = 14.0355. This, sqrt of 200 is approximately 14.0355. Note: the 2nd degree Taylor polynomial approximation would’ve have produced a better estimate of sqrt(200).

- KrishnamurthyLv 74 weeks ago
The square root of 200 is 14.1421356

WRONG! It's an irrational number, you need to say "approximately"

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- Anonymous4 weeks ago
14.14213562 or 10√2

- ComoLv 74 weeks ago
:-

In mathematical problems will usually be expressed as :-

√ 200 = √ ( 100 x 2 ) = 10 √2

WRONG! It's an irrational number, you need to say "approximately"