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    yohummer26's Avatar
    yohummer26 Posts: 3, Reputation: 1
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    #1

    Mar 26, 2010, 11:42 AM
    How to get squared root of 3 digit
    Square root of 3969
    yohummer26's Avatar
    yohummer26 Posts: 3, Reputation: 1
    New Member
    		  
    #2

    Mar 26, 2010, 11:45 AM
    How to get square root of 3969 without calculator
    Please explain
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #3

    Mar 26, 2010, 12:15 PM

    As a first attempt, you don't know whether it's a perfect square or not. Check it's factors:

    3969 = 3 * 1323 = 3 * 3 * 441 = 3 * 3 * 3 * 147 = 3 * 3 * 3 * 3 * 49 = 3 * 3 * 3 * 3 * 7 * 7

    Since there you can group them in pairs, 3969 is a perfect square. Now, group the pairs of similar factors together, and remove one from each pair, giving 3 * 3 * 7 = 9 * 7 = 63.

    So, 63 is the square root of 3969.

    That is one method.
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