let be the largest integer whose square has exactly digits when written in base . what is , expressed in base ?

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02-09-2022
Mathematics

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let be the largest integer whose square has exactly digits when written in base . what is , expressed in base ?

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Rafikiedu14idn Rafikiedu14idn · Answer 1 · 2022-09-12T01:22:32-04:00

The largest integer whose square has exactly digits when written in base is 28 in base 9 .

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface Z .

Largest base 9 three digit number = 888

And it can be represented as 728 in base 10, largest square is 26^2 26 that is 28 in base 9.

Therefore the largest integer whose square has exactly digits when written in base is 28 in base 9 .

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