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KCC's Quizzes on AQQ256 about square roots in the digital world

Quiz of the week: AQQ256 - making square root within integer numbers world.

Good luck! And try to be among the firsts!

Kuo-Chang

P.S. Don't hesitate to share those weekly quizzes in EZ to colleagues or friends!



Updated text.
[edited by: emassa at 7:52 PM (GMT -4) on 22 Mar 2024]
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  • N2 = 12,345,678,987,654,321; what is N?

     

    112 = 121

    So, 110,000,0002 = 12,100,000,000,000,000

     

    122 = 144

    So, 120,000,0002 = 14,400,000,000,000,000

     

    Therefore, the number must be between the two of these.

     

    But the carry between units and 10’s in 112 is interesting because it makes the number a palindrome…

     

    Let’s see if this is a pattern that repeats:

     

    1112 = 111 * 111

    1112 = 111 * 1 + 111 * 10 + 111 * 100 = 111 + 1110 + 111000 = 12321

     

    11112 = 1111 + 11110 + 111100 + 1111000 = 1234321

     

     

    111,111,1112 = 12,345,678,987,654,321

  • Bingo Martin! You get it and with a brilliant development and justifictaion!

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