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-   -   Algebra 2, multiplying "roots", square, cube, etc. (https://www.askmehelpdesk.com/showthread.php?t=83018)

  • Apr 15, 2007, 09:03 PM
    Renaejrk
    algebra 2, multiplying "roots", square, cube, etc.
    My friend's son knows I'm good at math and was having some algebra 2 problems. He showed me his problem and I couldn't remember how to do it! He left his book at school and the homework is due in the morning. I told him I'd look into it and see if I could help! I don't know how to even type his problem, but can explain it, I think!

    cube root of 25 x cube root of 25

    There are a couple of other problems that are not cube, but have like a 6, or other numbers to show what root it is, I'm assuming? Don't remember this from College Algebra!:confused:
  • Apr 15, 2007, 09:17 PM
    whiteladybug2002
    Ok, I will try to help? Luckily I have an old algebra book here to help me.

    multiply the numbers under the root sign and them take the cubed root of the answer

    ex. Cube root of 25 x cube root of 25 = cube root of 625 = 8.5498

    You will do the same with all the other numbers too!

    Hope I helped and didn't confuse worse!

    Good Luck and God Loves You!
  • Apr 15, 2007, 09:23 PM
    Renaejrk
    Quote:

    Originally Posted by whiteladybug2002
    Ok, I will try to help?! Luckily I have an old algebra book here to help me.

    multiply the numbers under the root sign and them take the cubed root of the answer

    ex. cube root of 25 x cube root of 25 = cube root of 625 = 8.5498

    What about if the "root" numbers are different? Such as 6th root of 25 x 4th root of 10? (just coming up with #s off the top of my head!)
  • Apr 15, 2007, 09:37 PM
    whiteladybug2002
    That is a good question, but I hope I have the answer. It is quite a bit hard to explain, but I will give you the example in my book.

    ex.
    Step 1. 6 X the 5th root of 4x + 3 X the 5th root of 4x - cube root of 4x

    Step 2. (6+3) X 5th root of 4x - cube root of 4x

    Step 3. 9 X 5th root of 4x - cube root of 4x (Because the indices differ, it we are done)

    I know there is a nice program out there that will make all this nice and pretty, but I don't have it so I work with what I got. Sorry if this is confusing.
  • Apr 15, 2007, 09:47 PM
    Renaejrk
    Quote:

    Originally Posted by whiteladybug2002
    ex.
    Step 1. 6 X the 5th root of 4x + 3 X the 5th root of 4x - cube root of 4x

    Step 2. (6+3) X 5th root of 4x - cube root of 4x

    Step 3. 9 X 5th root of 4x - cube root of 4x (Because the indices differ, it we are done)

    .

    You are being a big help!

    Question - if it were all x the cube root of 4x instead of subtracting, what would you do?
    ex - 9(5th root of 4x) (cube root of 4x)?
  • Apr 15, 2007, 10:00 PM
    whiteladybug2002
    I am thinking and looking through this book. It may take a minute, if I remember?
  • Apr 15, 2007, 10:18 PM
    Renaejrk
    Don't stay up trying to figure it out! I have to go to bed, he may just have to talk to one of his friends before class and maybe they'll have enough time to help him - I hate not knowing something - it's the first time he's asked me and I didn't know! LOL!

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