#1501 · Algebra · Exponentials & logarithms

Surd Power Fractional Part Property

If $(7 + 43)^{n} = p + β$ , where $n$ and $p$ are positive integers, and $β$ a proper fraction, show that $(1 - β) (p + β) = 1$ .

~20 minProof · checked by AISurdsBinomial Expansion

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIV. Binomial Theorem: Any Index, Examples XIV.c, No. 22

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