1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Simplifying Surds

  1. Sep 8, 2005 #1
    Ok here is my problem, I am not sure how to simplify surds with additions and subtractions in them such as ones like this:


    At the moment I have managed to simplify it to this:


    However it is not simplified as possible, can someone give me some words of wisdom? Any help greatly appreciated!
  2. jcsd
  3. Sep 8, 2005 #2


    User Avatar
    Science Advisor
    Homework Helper

    In this case, 80 = 4 x 20, so [itex]\sqrt{80}=\sqrt 4 \times\sqrt {20}=2\sqrt {20}[/itex].

    Therefore [itex]\sqrt{20}+\sqrt{80}= (1+2)\sqrt{20}=3\sqrt{20}[/itex], which is [itex]3\times 2\times\sqrt 5 = 6\sqrt 5[/itex].
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Simplifying Surds
  1. Surd simplification (Replies: 6)

  2. Simplifying Circuit (Replies: 4)

  3. Simplify equation (Replies: 6)

  4. Simplifying circuit (Replies: 2)