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Some perfect squares (such as 121) have a digit sum $(1 + 2 + 1 = 4)$ that is equal to the square of the digit sum of their square root $(\sqrt{121}=11$, and $(1 + 1)^2 = 4)$.

 

What is the smallest perfect square greater than 100 that does not have this property?

 

p.s 

it is different from the one before

 Aug 23, 2020
 #1
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The smallest square greater than 100 that does not have this property is 256.

 Aug 23, 2020
 #2
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The smallest perfecr square > 100 with this property appears to be:

 

196 =1 + 9 + 6 =16. Square root(196) = 14. (1 + 4)^2 =25 and does not = 16

 Aug 23, 2020

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