#1091 · Arithmetic · Exponents & roots

Square of a repeated digit in base eleven

Let $t$ denote the digit representing ten in base 11. Compute the square of the three‑digit number $tt t_{11}$ and give the result as a base‑11 numeral.

~5 minAnswer checked instantlybase conversionsquaring

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VII. Scales of Notation, Examples VII.a, No. 11

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).