Question

$³\sqrt512$

Answer 1

512 | 2
256 | 2
128 | 2
64  | 2
32  | 2
16  | 2
8   | 2
4   | 2
2   | 2
2

2³.2³.2³

$x=\sqrt[3]{512} \\x= \sqrt[3]{2^3.2^3.2^3}\\x=8$

Answer 2

  Fatorando 512 ==> 2^9 ==> 2^3.2^3.2^3

 3             3                     
V512  =  V2^3.2^3.2^3  = 2.2.2==> 8