1. Limited time only! Sign up for a free 30min personal 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!

Square root problem

  1. Jun 21, 2015 #1
    Hi I'm just wondering: How does √(10^2+10^2) become 10*√(2) ? I also noticed that √(10^2+10^2+ 10^2) becomed 10*√(3) But how to you mathematically - ith more steps- go from √(10^2+10^2) to 10*√(2)?

    Kind regards,
    Christian
     
  2. jcsd
  3. Jun 21, 2015 #2

    pwsnafu

    User Avatar
    Science Advisor

    Well, what do you get when you add a number to itself?
     
  4. Jun 21, 2015 #3

    Mentallic

    User Avatar
    Homework Helper

    These rules apply:

    [tex]\sqrt{ab}=\sqrt{a}\sqrt{b}[/tex]

    [tex]ab+ac=a(b+c)[/tex]
     
  5. Jun 21, 2015 #4
    Ohh of course! thank you very much :)
    So it's

    sqrt(10^2 +10^2) = sqrt(2*10^2) = sqrt(10^2)*sqrt(2)= 10*sqrt(2).
     
  6. Nov 15, 2016 #5
    ##\sqrt{10^2+10^2}##

    ##\sqrt{a^2+a^2}=\sqrt{2a^2}##

    Similarly

    ##\sqrt{10^2+10^2}=\sqrt{2(10)^2}##

    ##\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}##

    Similarly
    ##=\sqrt{2(10)^2}=\sqrt{2}\cdot\sqrt{10^2}##

    ##=10\sqrt{2}##
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Square root problem
  1. Square root (Replies: 4)

  2. Square roots (Replies: 13)

  3. Square Roots? (Replies: 7)

  4. The square root (Replies: 7)

Loading...