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  • Sep 9, 2007, 01:51 PM
    stang03
    Algebra 2
    The square root of twenty-two to the nearest ten-thousandths.
    - with a calculator- would you get an answer of about 4.7??
  • Sep 9, 2007, 02:17 PM
    Curlyben
    Calculator?
  • Sep 9, 2007, 02:49 PM
    galactus
    Yes, your answer is close, but not to the ten-thousandth.

    Are you supposed to do this by hand? It's easy with a calculator.

    Try the Babylonian method. It works great for doing square roots by hand.



    This is a recursion, where k= an estimate and b is what your finding the squre root of.

    Here's an example:

    Suppose you want to find

    We know it's going to be between 3 and 4. Because 3^3=9 and 4^2=16.

    Make an intitial guess of, say, 3.3.





    Keep that up until you get the desired accuracy. But, I believe we're there already.

    Now do it with .

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