Answer:
8
(Please vote me Brainliest if this helped!)
Step-by-step explanation:
[tex]\sqrt[3]{512}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:512=8^3[/tex]
[tex]=\sqrt[3]{8^3}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a,\:\quad \:a\ge 0[/tex]
[tex]\sqrt[3]{8^3}=8[/tex]