what is $sqrt3{512}$?

Answer:

8

Explanation:

Step1: Recall cube - root concept

We need to find a number $x$ such that $x^3=512$.

Step2: Factorize 512

$512 = 2\times2\times2\times2\times2\times2\times2\times2\times2=2^9$.

Step3: Calculate the cube - root

$\sqrt[3]{512}=\sqrt[3]{2^9}=2^{9\div3}=2^3 = 8$.