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Math Help - Radicals

  1. #1
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    Joined
    Feb 2008
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    10

    Radicals

    ok the answer is 11 but i want to know why it is 11 its for a review package due on monday

    question

    The diagonal of a square checkerboard is (square root of 968)*. How many 2cm by 2cm squares make up this checkerboard?

    *= the square root , i dont know how to make the symbol sorry guys.


    please explain how you got ur answer please i know it has something to do wid the pythagoren theorum
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  2. #2
    Junior Member
    Joined
    Sep 2007
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    Reply

    since it is a square,use the Pythagorean theorum

    968=x^2 + x^2

    solving for x
    2x^2=968

    so x = 22, which is a side of the square checkerboard

    area=22*22<br />
=484

    then divide by the area of one square then take the square root-and you get 11
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  3. #3
    Newbie
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    Feb 2008
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    thanks alot i jus got 1 question tho why would u square root 121 making it equal 11 even though it is right i want to know why you are u supose to square root it? thanks
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  4. #4
    Junior Member
    Joined
    Sep 2007
    Posts
    37

    square-rooting

    because since each side of the board is 22 units, and you have a square thats 2x2, you have to take the square root, just so it fits the side. also because it is in a way proportional. I didnt have to take the square root, instead i could have divided 22 by 2, side of board divided by side of small square. I took the square root because i was dealing with two dimensions~area
    you could do the same with a side (22/2=11) 1 dimension

    GK
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