Results 1 to 4 of 4

Math Help - Powers inside roots? [surds]

  1. #1
    RAz
    RAz is offline
    Junior Member RAz's Avatar
    Joined
    May 2008
    From
    Canada
    Posts
    54

    Powers inside roots? [surds]

    Hello, how do I simplify powers that are inside roots? Example: say x is a positive number (I don't know how to write the math on a PC sorry)

    sq< 9x^8
    [Square root of nine and x to the power of 8]

    To simplify, I can square root 9 to get 3, and take that to the outside of the root.

    3 sq< x^8

    But what about the x to the power of 8? I have no idea
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Jan 2009
    From
    earth
    Posts
    167
    Quote Originally Posted by RAz View Post
    Hello, how do I simplify powers that are inside roots? Example: say x is a positive number (I don't know how to write the math on a PC sorry)

    sq< 9x^8
    [Square root of nine and x to the power of 8]

    To simplify, I can square root 9 to get 3, and take that to the outside of the root.

    3 sq< x^8

    But what about the x to the power of 8? I have no idea

    \sqrt{9x^8}

    it's like this (\sqrt{3x^4})^2 then cancel exponent ^2 with the root

    then it's like this =3x^4

    after 3 then divide 8 by 2 that's what

    remember
    in roots you will divide \sqrt{2^6}= 2^{\frac{6}{2}}

    in division you will subtract  \frac{x^4}{x^2}= x^{4-2}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    RAz
    RAz is offline
    Junior Member RAz's Avatar
    Joined
    May 2008
    From
    Canada
    Posts
    54
    Thanks!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Jan 2009
    From
    earth
    Posts
    167
    you're very welcome!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: August 31st 2011, 03:32 AM
  2. Misc. questions on powers and surds.
    Posted in the Algebra Forum
    Replies: 2
    Last Post: April 26th 2011, 06:16 AM
  3. Simplify surds and powers.
    Posted in the Algebra Forum
    Replies: 9
    Last Post: February 13th 2011, 05:57 PM
  4. [SOLVED] Help with powers and roots
    Posted in the Number Theory Forum
    Replies: 4
    Last Post: October 3rd 2009, 11:41 PM
  5. Powers and roots
    Posted in the Math Topics Forum
    Replies: 5
    Last Post: October 9th 2008, 01:13 PM

Search Tags


/mathhelpforum @mathhelpforum