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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]
Parents
• 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

• 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

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