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March 28, 2017

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how to find the square root of 404.41 with steps please help

  • maths --plse help me.. - ,

    Are you suggesting a "pencil-and-paper" method?

    I will show you three ways.

    1.
    This is what I taught years ago, before we had calculators
    http://www.homeschoolmath.net/teaching/square-root-algorithm.php
    look at the method labeled "algorithm"

    2.
    You could also use Newton's Method
    -start with a reasonable guess
    I guess 20
    -divide 404.41 by 20 to get 20.22505

    average that answer with my guess
    (20 + 20.22505)/2 = 20.11025 ---> new guess

    make that your new guess and repeat:
    404.41รท20.11025 = 20.109645..
    (20.109645+20.11025)/2 = 20.10994779 --> new guess

    404.41/20.10994779 = 20.10994778
    (20.10994779+20.10994778)/2 = 20.10994779 --> the same as before
    so √404.41 = 20.10994799 correct to 8 decimal places in 3 steps

    If you start with a silly guess, like 10 , eventually you will get the answer, it will just take longer.


    3.
    of course you could also just do :
    √404.41 = 20.10994779 on your calculator.

  • maths --plse help me.. - ,

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