Results 1 to 10 of 10

Math Help - Square roots between two integer values?

  1. #1
    Junior Member
    Joined
    Apr 2009
    Posts
    31

    Square roots between two integer values?

    The Square root of 50 lies between what two integer values?



    The square root of 50 = 7.0710678118654755 so does it lie between 6 and 8 or 7 and 8??


    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,623
    Thanks
    428
    Quote Originally Posted by Sailee316 View Post
    The Square root of 50 lies between what two integer values?



    The square root of 50 = 7.0710678118654755 so does it lie between 6 and 8 or 7 and 8??


    Thanks
    7^2 = 49

    (\sqrt{50})^2 = 50<br />

    8^2 = 64
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Apr 2009
    Posts
    31
    I still don't understand. Which two integers does square root of 50 lie between?

    Thanks
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,623
    Thanks
    428
    Quote Originally Posted by Sailee316 View Post
    I still don't understand. Which two consecutive integers does square root of 50 lie between?

    Thanks
    7 and 8
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,579
    Thanks
    1418
    Quote Originally Posted by Sailee316 View Post
    The Square root of 50 lies between what two integer values?



    The square root of 50 = 7.0710678118654755 so does it lie between 6 and 8 or 7 and 8??
    7 and 8, of course! Why would you even consider "6 and 8"?

    By the way, you don't need a calculator to answer this. 7^2= 49 and 8^2= 64 and 50 lies between 49 and 64.


    Thanks
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Newbie Jazzua's Avatar
    Joined
    Jul 2009
    From
    Warners Bay, Australia
    Posts
    8
    I still don't understand. Which two consecutive integers does square root of 50 lie between?
    why don't you understand?


    The question asked the square root of 50 lies between which two integer values.

    the square root of 50 is 7.07. so rephrase the question. 7.07 lies between which two integer values.

    well it's greater than 7 and lesser than 8.

    so it lies between 7 and 8.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Junior Member
    Joined
    Apr 2009
    Posts
    31
    ok i think i get it now.

    150 lies between what two integer values?

    Is it 12 and 13?? If so how?

    Also how did you get 7 ^2 and 8^2 ?

    Thanks
    Follow Math Help Forum on Facebook and Google+

  8. #8
    Super Member
    Joined
    May 2009
    Posts
    527
    Quote Originally Posted by Sailee316 View Post
    150 lies between what two integer values?

    Is it 12 and 13?? If so how?
    Yes, because \sqrt{150} \approx 12.25, which is between 12 and 13.


    01
    Follow Math Help Forum on Facebook and Google+

  9. #9
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by yeongil View Post
    Yes, because \sqrt{150} \approx 12.25, which is between 12 and 13.


    01
    It is also between 10 and 127, there is an unstated assumption that the question means "consecutive integers". Of course the question may have said exactly that, but you did not think it important enough to mention?

    CB
    Follow Math Help Forum on Facebook and Google+

  10. #10
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,579
    Thanks
    1418
    Quote Originally Posted by Sailee316 View Post
    ok i think i get it now.

    150 lies between what two integer values?

    Is it 12 and 13?? If so how?

    Also how did you get 7 ^2 and 8^2 ?

    Thanks
    Are you serious? you get 7^2 and 8^2 by multiplying! 7^2= (7)(7)= 49 and 8^2= (8)(8)= 64

    I also know that 12^2= (12)(12)= 144< 150 and that 13^2= (13)(13)= 169> 150. Since 150 lies between 144 and 169, its square root lies between 12 and 13.

    As Captain Black pointed out, You can pick any integer whose square is less than 150 and any (positive) integer whose square is larger than 150 and say that the square root of 150 lies between them. But because you specifically asked "what two integers", it was clear that you wanted a single answer and the most reasonable interpretation of that is the two integers closest to that square root.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Uniquness of integer values between a rational
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: September 30th 2010, 12:58 AM
  2. Integer roots of integer polynomials
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: December 3rd 2009, 12:39 PM
  3. Replies: 1
    Last Post: December 3rd 2009, 08:45 AM
  4. Integer roots over Z_p
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: September 1st 2009, 02:39 AM
  5. find integer roots
    Posted in the Algebra Forum
    Replies: 10
    Last Post: September 15th 2007, 04:20 PM

Search Tags


/mathhelpforum @mathhelpforum