Raiz cuadrada de 16 elevado a 3?

Resolver!

√16³ = ?

Paso#1'Multiplicamos '

16 * 16 * 16 = 4096

√16³ = √4096

Paso #2'Descomponemos en factores primos'

<img src="https://tex.z-dn.net/?f=4096%2F2" />

<img src="https://tex.z-dn.net/?f=2048%2F2" />

<img src="https://tex.z-dn.net/?f=1024%2F2" />

<img src="https://tex.z-dn.net/?f=512%2F2" />

<img src="https://tex.z-dn.net/?f=256%2F2" /> <img src="https://tex.z-dn.net/?f=4096%20%3D%20%202%5E%7B12%7D%20%20" />

<img src="https://tex.z-dn.net/?f=128%2F2" />

<img src="https://tex.z-dn.net/?f=64%2F2" />

<img src="https://tex.z-dn.net/?f=32%2F2" />

<img src="https://tex.z-dn.net/?f=16%2F2" />

[img = 10]

[img = 11]

[img = 12]

[img = 13]

Después dela descomposición.

Introducimos estos valores en el radical ; sabiendo que 4096 = 2² * 2² * 2² * 2² * 2² * 2²

Continuamos.

√4096 = √2² * 2² * 2² * 2² * 2² * 2² = 2 * 2 * 2 * 2 * 2 * 2 = 64

√16³ = √4096 = 64.