Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Prove that it is smaller than 6

  1. Aug 28, 2011 #1
    1. The problem statement, all variables and given/known data

    Prove that MSP340419h1i98721f4618g000016f428dc98cfg230.gif .


    2. Relevant equations



    3. The attempt at a solution

    I couldn't prove this... Can anyone help me? Thanks...
     
  2. jcsd
  3. Aug 28, 2011 #2

    Since both sides are positive take squares of them
     
  4. Aug 28, 2011 #3
    By squaring both sides, i stuck at sqrt20 < 4.5 , how do i proceed?

    Sorry but i can't get you....
     
  5. Aug 28, 2011 #4
    If you directly go by solving the square roots of 10 and 2, what you get is something 5.99 which is less than 6. :smile:
     
  6. Aug 28, 2011 #5

    uart

    User Avatar
    Science Advisor

    Square both sides again. That is, square 4.5 and show that it is equal to 20.25

    It would probably look a bit nicer though if you left it as [itex]2 \sqrt{20} < 9[/itex] before squaring.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook