Specific properties of exact square roots of nine perfect squares formed by three digits

• DOI: https://doi.org/10.22533/at.ed.153112401073

• Palavras-chave: Specific properties, Perfect squares, Exact square roots, Perfect square trinomial.

• Keywords: Specific properties, Perfect squares, Exact square roots, Perfect square trinomial.

• Abstract:

  Exact square roots are those that have an integer result and no decimals. There are nine numbers formed by three digits that are perfect squares, that is, they are obtained by calculating the square roots of the hundreds and units’ digits, respectively. These numbers are: 100, 121, 144, 169, 400, 441, 484, 900 and 961. By extracting the exact square root of these numbers, we can verify specific properties, through the factorization of the perfect square trinomial to find the result more efficiently. In this work, we will discuss these properties and how they can be applied to obtain the exact square root of these nine perfect squares formed by three digits.