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-   -   How do you simplify different kinds of radical expressions? (https://www.askmehelpdesk.com/showthread.php?t=297370)

  • Dec 31, 2008, 03:58 AM
    jonahnaks13
    how do you simplify different kinds of radical expressions?
    Like: the cubed root of 40n exponent 4... please.:D
  • Jan 2, 2009, 11:32 PM
    DanaJena
    I think the answer is 2n cube root of 5n
  • Jan 4, 2009, 09:33 AM
    EuRa

    You break down the inside of the root, then take out the sets you need. I'll take your example.

    ³√(40n^4)

    First you break down the 40 if you can. You have to break 40 down as much as possible (dividing it by prime numbers), to find out if there are 3 of the same number that go into it. 40 broken down all the way is:

    2 * 2 * 5 * 2 = 40. So as you can see, 2 goes into 40 three times, so you can pull the 2 out, and leave the 5. Then you have to break down the n^4, which is simply:

    n * n * n * n = n^4. So you can take an "n" out, and that leaves one n.

    Then you put the problem back together. The 2 and an "n" are on the outside, and a 5 and an "n" are left on the inside:

    2n√(5n)


    Once you get good at it, you can see the numbers that come out a lot easier.

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