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Can You Simplify Square Root Of 108?

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    108 = 27*4 = 22*33 = (2*3)2*3
    √108 = √(62*3) = 6√3

    1 0

    Oddman 

    answered 1 year ago

      Simplified without the decimal form, it would be 6 square roots of three. To get this, divide the number by perfect squares ( 4, 9, 16, 25, 36, 49,....). Take the highest perfect square that divides evenly into the number ( in this case, 36, which goes into 108 three times) and set it up as a multiplication problem. It would be the square root of 36 x 3. Then square root the perfect square, and bring it outside of the square root sign ( sorry, I don't know how to make a square root symbol on the computer) so that it would be 6 square roots of three. Hope this helps!
      1 0

      Boogawooga 

      answered 1 year ago

        The answer is 6 radical 3.
        0 0

        Aznlily95 

        answered 12 months ago

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