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    nike23's Avatar
    nike23 Posts: 13, Reputation: 1
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    #1

    Jul 12, 2007, 08:19 AM
    Radical Expressions
    sumone help me simplify these? The "^" means to the power of the number that follows it

    √54x^3y^5

    2√12x^4y^5

    0.5√8x^4y^3

    3√75x^3y^5

    4√x^3yz^6
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #2

    Jul 12, 2007, 08:28 AM
    Here's a trick for you.

    Let's take a made up example:



    Now, a square root is the same as raising to the power of 0.5 so:



    Now we can use power rules:



    Simple eh?

    Now you have a go at yours.
    nike23's Avatar
    nike23 Posts: 13, Reputation: 1
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    #3

    Jul 12, 2007, 08:40 AM
    Lol, its not as easy as you say it is. Can u help me do at least one or 2 of my selected problems?
    s_cianci's Avatar
    s_cianci Posts: 5,472, Reputation: 760
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    #4

    Jul 15, 2007, 07:51 PM
    Break down each coefficient inside of each radical in the usual way. For example, 54 = 9 * 6 , 12 = 4 * 3 , etc. As for the variables, divide each exponent by 2. The quotient becomes the power of the rational part that comes out of the radical and the remainder (which will be 0 or 1 and the 0 case will be redundant) becomes the power of the irrational part which stays inside the radical.
    ShannonMathWiz's Avatar
    ShannonMathWiz Posts: 2, Reputation: 1
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    #5

    Apr 15, 2008, 06:00 PM
    Chigga Chigga Wha

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