Observations on Square Roots of Leftins
Table of Square Roots
- Not all integers have square roots in L0 (or Lf).
- The integers which have square roots in a composite number base is the intersection of integers which have square roots in the bases of its factors.
- The precision of a square root is not always the same as the precision of the number. There may be several ambiguous digits.
- Square roots always come in pairs of additive inverses (except zero which is its own additive inverse).
- The number of square roots of an integer is 2 raised to the power of the number of unique prime factors of the number base.
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© Scott Sherman 1999