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Base Systems: (Proof track.) Give a complete justification. For what base math is math a square equal to math?

Convert and compute in bases.

Try the problem

**(Proof track.)** Give a complete justification. For what base bb is (22)b(22)_b a square equal to 6464?

Hint and answer

Concept to use

Digit DP style.

Hint

Expand the numeral as a polynomial in its base and enforce valid-digit constraints.

Answer

6

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