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-   -   Radical Expressions (https://www.askmehelpdesk.com/showthread.php?t=109238)

  • Jul 12, 2007, 08:19 AM
    nike23
    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
  • Jul 12, 2007, 08:28 AM
    Capuchin
    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.
  • Jul 12, 2007, 08:40 AM
    nike23
    Lol, its not as easy as you say it is. Can u help me do at least one or 2 of my selected problems?
  • Jul 15, 2007, 07:51 PM
    s_cianci
    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.
  • Apr 15, 2008, 06:00 PM
    ShannonMathWiz
    Chigga Chigga Wha

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