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2. Square-free integer - Wikipedia

   en.wikipedia.org/wiki/Square-free_integer

   The square-free number 42 has factorization 2 × 3 × 7, or as an infinite product 2 1 · 3 1 · 5 0 · 7 1 · 11 0 · 13 0 ··· Thus the number 42 may be encoded as the binary sequence ...001011 or 11 decimal. (The binary digits are reversed from the ordering in the infinite product.)

3. Radical of an integer - Wikipedia

   en.wikipedia.org/wiki/Radical_of_an_integer

   The radical of any integer is the largest square-free divisor of and so also described as the square-free kernel of . [2] There is no known polynomial-time algorithm for computing the square-free part of an integer.

4. Square-free element - Wikipedia

   en.wikipedia.org/wiki/Square-free_element

   In mathematics, a square-free element is an element r of a unique factorization domain R that is not divisible by a non-trivial square. This means that every s such that s 2 ∣ r {\displaystyle s^{2}\mid r} is a unit of R .

5. Square-free number - Wikipedia

   en.wikipedia.org/?title=Square-free_number&...

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6. Methods of computing square roots - Wikipedia

   en.wikipedia.org/wiki/Methods_of_computing...

   A method analogous to piece-wise linear approximation but using only arithmetic instead of algebraic equations, uses the multiplication tables in reverse: the square root of a number between 1 and 100 is between 1 and 10, so if we know 25 is a perfect square (5 × 5), and 36 is a perfect square (6 × 6), then the square root of a number greater than or equal to 25 but less than 36, begins with ...

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8. Square number - Wikipedia

   en.wikipedia.org/wiki/Square_number

   A non-negative integer is a square number when its square root is again an integer. For example, =, so 9 is a square number. A positive integer that has no square divisors except 1 is called square-free. For a non-negative integer n, the n th square number is n 2, with 0 2 = 0 being the zeroth one. The concept of square can be extended to some ...

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