What is the square root of 200?

10 Answers

Relevance
  • 2 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).

  • David
    Lv 7
    3 weeks ago

    It is an irrational number which is 10 times the square root of 2

  • sepia
    Lv 7
    3 weeks ago

    The square root of 200 is 14.14213562

    • Trey3 weeks agoReport

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

  • 3 weeks ago

    The square root of 200 is 14.1421356

    • Trey3 weeks agoReport

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

  • What do you think of the answers? You can sign in to give your opinion on the answer.
  • 3 weeks ago

    The square root of 200 is simplified into a mixed radical form 10 root 2.

  • TomV
    Lv 7
    3 weeks ago

    200 = 2*100

    √200 = √2 * √100

     = 10√2 ≈ 14.14

  • Anonymous
    3 weeks ago

    14.14213562 or 10√2

  • Como
    Lv 7
    3 weeks ago

    :-

    In mathematical problems will usually be expressed as :-

    √ 200 = √ ( 100 x 2 ) = 10 √2

  • 3 weeks ago

    sqrt(200) = sqrt(100)*sqrt(2) = 10*1.414 = 14.14

  • Lôn
    Lv 7
    3 weeks ago

    14.14 to 2 dp......

Still have questions? Get answers by asking now.