La raíz cuadrada de 5, \(\sqrt{5}\), es un número irracional. Los números irracionales son aquellos que no se pueden expresar como una fracción m/n, donde m y n son enteros y n no es cero. Además, sus decimales son infinitos y no periódicos, lo que significa que no tienen un patrón repetitivo. Como \(\sqrt{5}\) no se puede expresar exactamente como una fracción y su expansión decimal es infinita y no periódica, la respuesta correcta es "irracional".
It looks like the image you've provided contains an inequality with two blank boxes and the square root of 5. It's difficult to determine specifically what is being asked because there's no context or additional instructions. However, I can give you a general idea of what the inequality suggests. The square root of 5 is an irrational number, approximately equal to 2.236. An inequality featuring the square root of 5 between two boxes might be asking for you to identify two integers, one that is less than the square root of 5, and one that is greater. Given this, the answers could be: - The integer less than √5: 2 - The integer greater than √5: 3 Therefore, the completed inequality with the integers in place would be: 2 < √5 < 3 These integers are the largest whole number less than √5 and the smallest whole number greater than √5, respectively.
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