Question about determining digits of a number

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The discussion revolves around solving the equation \(\sqrt{ABADEC} = BEB\) to determine the digit "D". The user GM attempts to express BEB in terms of its digits, resulting in the equation \(B(102 + 1) + 10E = 101B + 10E\). A suggestion is made to square the expression for BEB to facilitate further calculations. This approach is essential for isolating the variable D within the context of the problem.

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GeoMike
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The question is:
If [tex]\sqrt{ABADEC} = BEB[/tex] what is the value of the digit "D"?

I'm completely lost as to how to start on this one. I tried expanding the numbers as powers of ten:
BEB = B*102 + E*101 + B*100
= B(102 + 1) + 10E
= 101B + 10E
...but I couldn't really do anything with it after that.

I don't want an answer, just a hint on how to proceed.

Thanks!
-GM-
 
Last edited:
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GeoMike said:
BEB = B*102 + E*101 + B*100

Try taking this expression and squaring it.
 

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