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- Primero, observamos que la expresión se puede reescribir como:
- Calculamos el cociente dentro de la raíz:
- Entonces la expresión se simplifica a:
- Finalmente, como
, se tiene:
La respuesta es
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Want to learn some historical tidbits about cube roots? The concept of roots, particularly cube roots, has roots (pun intended!) in ancient cultures. The Babylonians understood cube roots as early as 2000 BCE and even had methods for approximating them. Fast forward to the Greeks, who formalized many mathematical theories that included roots, setting the stage for modern mathematics as we know it.
For real-world applications, cube roots play a crucial role in several fields, especially in science and engineering. For example, when calculating the volume of a cube, if you know the volume, finding the length of a side requires taking the cube root. So next time you’re packing a box, calculating how many items fit in a cubic space, or mixing ingredients, cube roots may sneak into your calculations!
