Discussion » Questions » Math » Why are there no perfect square numbers ending in 2 or 8? Don't you think that's a bit strange?
Bez

Why are there no perfect square numbers ending in 2 or 8? Don't you think that's a bit strange?

I mean, numbers like 512 and 648 look at first glance as if they might be perfect square numbers, but they are not. No perfect square ends in either 2 or 8. Why do you think that is?

Posted - October 30, 2016
Tags : None

Responses


  • 46117
    Two isn't the square of Two?  I managed to go through my entire life and not know this.  Maybe that is why I am such a failure.
      October 30, 2016 2:51 PM MDT
    0

  • 2148
    I never said two was the square of two, I just thought that certain numbers ending in 2 or 8 look like the sort of numbers that might be perfect squares to someone who is not as well-educated in maths as I am. Know what I mean? Lol:)
      October 30, 2016 3:10 PM MDT
    0

  • 46117
    Andrew.

    I cannot understand where you mind goes.  

    I never EVER said you DID say that.   I seriously THOUGHT that. That is what I said.

    Try this.

    One word at a time.

    I
    Thought

    This.

    I
    Never
    EVER
    EVER
    said
    anything
    about
    what
    you
    meant.

    O
    K?
      October 30, 2016 3:12 PM MDT
    0

  • 2148
    I just thought you were being sarcastic when you said "Two isn't the square of Two? I managed to go through my entire life and not know this. Maybe that is why I am such a failure". I detected the sarcasm there when I replied to it, and now, with your next comment, I know for a fact you are being sarcastic. Lol:)
      October 30, 2016 3:14 PM MDT
    0

  • 46117
    No.  I am sorry.  I was being funny but it was directed at ME because I suck at all things math past the main basic stuff.  I can add numbers like there is no tomorrow in my head, but I am not good at any of the maths that have to do with symbolism and all this garbage.  Square roots are in the far distant past in my brain.

    Sometimes you are hard to follow because we are talking about the subject of say "corn being yellow".  You will say something akin to "why is corn yellow" and I will answer in a manner that I think is thought out and understandable and you will come back with "well what if it was green?" When that is totally off the subject.

    But not this time.  This post was edited by WM BARR . =ABSOLUTE TRASH at October 30, 2016 3:21 PM MDT
      October 30, 2016 3:18 PM MDT
    0

  • 2148
    If you suck at maths, you probably didn't know whether my sample numers 512 and 648 were perfect squares or not. I bet it wouldn't have occurred to you to say "they can't be because they end in 2 and 8 respectively", would it? But now you know they are not because I've mentioned it on here. This isn't a "what if" situation. Lol:) This post was edited by Bez at October 30, 2016 3:25 PM MDT
      October 30, 2016 3:23 PM MDT
    0

  • 0*0=0
    1*1=1
    2*2=4
    3*3=9
    4*4=16
    5*5=25
    6*6=36
    7*7=49
    8*8=64
    9*9=81

    Look at the last digit in all the results.  There are no 2s and there are no 8s.  That's why.
      October 30, 2016 3:17 PM MDT
    2

  • 46117
    And you are drinking heavily?  Impressive.
      October 30, 2016 3:19 PM MDT
    0

  • 2148
    I knew that when I was in junior school, charface, I just didn't learn the reason why there are no 2s or 8s.
      October 30, 2016 3:21 PM MDT
    0

  • I blame the hippies .
      October 30, 2016 3:46 PM MDT
    0

  • 5354
    I blame junior school :-))
      October 31, 2016 11:53 AM MDT
    0

  • There are also no 7s or 3s. Square numbers can only end in 0, 1, 4, 5, 6, or 9 and the sequential square numbers' final digits follow a pattern of: 0, 1, 4, 9, 6, 5, 6, 9, 4, 1, 0, etc. 



      October 30, 2016 6:27 PM MDT
    1

  • No body likes a smarty pants ... Last warning!

    :)
      October 31, 2016 1:23 PM MDT
    0

  • 5354
    The last digit of a square number solely depend on the last digit of the number squared. There are only 10 possibilities for what that last digit can be, try them out ;-))
      October 31, 2016 11:58 AM MDT
    0