$\\sqrt3{512} = \\square$
$\\sqrt3{512} = \\square$
Answer
Explanation:
Step1: Recall cube of integers
We know that to find the cube root of a number, we need to find an integer ( x ) such that ( x^3=x\times x\times x ) equals the number inside the cube root. Let's recall the cubes of some integers. For example, ( 8\times8\times8 = 512 ), because ( 8\times8 = 64 ) and ( 64\times8=512 ).
Step2: Apply cube root definition
The cube root of a number ( a ), denoted as ( \sqrt[3]{a} ), is a number ( x ) such that ( x^3=a ). Since ( 8^3 = 512 ), by the definition of cube root, ( \sqrt[3]{512}=8 ).
Answer:
( 8 )