document.write( "Question 632981: When you square any integer, the last digit of the number you get will never be an eight.
\n" ); document.write( "Is this statement true, false, or sometimes true. Justify your result.\r
\n" ); document.write( "\n" ); document.write( "to prove this i've tried...
\n" ); document.write( "1^2=1 2^2 = 4, 3^2 = 9, 4^2 = 16, 5^2 = 25, 6^2=36, 7^2=49, 8^2=64, 9^2=81, 10^2 = 100
\n" ); document.write( "as you can see this is true for single digits i've tried double digits as well up till 30^2, and clearly enough the last digit is never an eight.
\n" ); document.write( "from what i've got above im guessing that this statement is true!\r
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Algebra.Com's Answer #398623 by richard1234(7193) $\"\"$ $\"About$

You can put this solution on YOUR website!
You only need to check up to 10^2, because the last digit will repeat (because 12 is congruent to 2 mod 10, for example). I would brute force just like the other tutor did to check that a perfect square cannot end in 8. \n" ); document.write( "

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