Results 1 to 4 of 4

Math Help - Property of Radicals

  1. #1
    Junior Member ReneG's Avatar
    Joined
    Mar 2013
    From
    United States
    Posts
    67
    Thanks
    9

    Property of Radicals

    Since \sqrt[m]{\sqrt[n]{b}} = \sqrt[mn]{b}, how would you be able to simplify \sqrt[m]{a\sqrt[n]{b}} where a and b​ are both constants
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Feb 2013
    From
    Saudi Arabia
    Posts
    443
    Thanks
    86

    Re: Property of Radicals

    Rene

    Very simple....the variable a enters the radical and gets a power n the rest is easy.
    The final answer is (mn) root(a^n x b) .
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Nov 2007
    From
    Trumbull Ct
    Posts
    917
    Thanks
    27

    Re: Property of Radicals

    1 remove the inner radical sign giving a*b^1/n
    2 remove the outer radical sign giving a^1/m*b^1/mn
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,217
    Thanks
    1789

    Re: Property of Radicals

    Quote Originally Posted by ReneG View Post
    Since \sqrt[m]{\sqrt[n]{b}} = \sqrt[mn]{b}, how would you be able to simplify \sqrt[m]{a\sqrt[n]{b}} where a and b​ are both constants
    You could write it as \sqrt[m]{a}\sqrt[mn]{b} or as a^{1/m}b^{1/mn}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Mean Value Property Implies "Volume" Mean Value Property
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: March 16th 2011, 09:13 PM
  2. Radicals
    Posted in the Algebra Forum
    Replies: 2
    Last Post: August 4th 2008, 08:18 AM
  3. Radicals
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: May 20th 2008, 06:25 PM
  4. Replies: 2
    Last Post: May 5th 2008, 10:55 PM

Search Tags


/mathhelpforum @mathhelpforum