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Math Help - perfect squares

  1. #1
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    perfect squares

    Question is how many perfect squares are less than 10,000.


    I believe perfect squares are 1,4,9,16,25,36,49,64,81 and 100.


    Someone mentioned the answer was 99, but I am not sure how they got there.

    Thank you.
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  2. #2
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    The answer is quite simple just take a look at \sqrt{10000}=100. So there has to be 99 numbers whose squares are less than 10000. You can also take a look at here to get to know perfect squares better. Note: if you consider 0 as a perfect square (and usually you do) then there are 100 perfect squares less than 10000.
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  3. #3
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    there will be 99 perfect squares as 99^99 = 9801
    Last edited by CaptainBlack; October 11th 2009 at 01:25 PM.
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  4. #4
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    To James Bond and Jeremy

    .. thank you both for taking the time to explain the answer to my question.

    JB- many thanks for the link to that useful chart too!
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