Results 1 to 3 of 3

Math Help - Adding Square Roots raised to a power

  1. #1
    Junior Member
    Joined
    Jun 2011
    Posts
    41

    Adding Square Roots raised to a power

    When studying for the GMAT, I encountered this problem

    (Square root of 3+Square root of 3+Square root of 3)^2

    As in raised to the second power.

    I know the answer is 27. However, I was under the impression that squaring a square root would simply remove the square root symbol. Why wouldn't this answer be 3+3+3=9?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,234
    Thanks
    27

    Re: Adding Square Roots raised to a power

    \dipslaystyle (\sqrt{3}+\sqrt{3}+\sqrt{3})^2 = (3\sqrt{3})^2 = \dots

    Quote Originally Posted by KingNathan View Post

    I know the answer is 27. However, I was under the impression that squaring a square root would simply remove the square root symbol. Why wouldn't this answer be 3+3+3=9?

    \dipslaystyle (a+b)^2 = a^2+2ab+b^2 \neq a^2+b^2
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jun 2011
    Posts
    41

    Re: Adding Square Roots raised to a power

    Quote Originally Posted by pickslides View Post
    \dipslaystyle (\sqrt{3}+\sqrt{3}+\sqrt{3})^2 = (3\sqrt{3})^2 = \dots




    \dipslaystyle (a+b)^2 = a^2+2ab+b^2 \neq a^2+b^2
    That makes complete sense! Thank you very much.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Adding infinite square roots
    Posted in the Algebra Forum
    Replies: 4
    Last Post: September 1st 2009, 01:14 AM
  2. Adding square roots (easy question)
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: July 21st 2009, 08:11 PM
  3. Adding Square Roots
    Posted in the Algebra Forum
    Replies: 7
    Last Post: May 3rd 2008, 08:16 AM
  4. Adding Square Roots
    Posted in the Algebra Forum
    Replies: 7
    Last Post: February 19th 2008, 12:25 PM
  5. Adding Square Roots
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 17th 2007, 07:43 PM

Search Tags


/mathhelpforum @mathhelpforum