$\\sqrt3{729} = \\square$
$\\sqrt3{729} = \\square$
Answer
Explanation:
Step1: Recall cube of numbers
We know that to find the cube root of a number, we need to find a number ( 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. We know that ( 9\times9\times9 = 9^3). Calculating ( 9\times9 = 81 ), then ( 81\times9=729 ).
Step2: Apply cube root definition
The cube root of a number ( a ), denoted as ( \sqrt[3]{a} ), is the number ( x ) such that ( x^3 = a ). Since ( 9^3=729 ), by the definition of cube root, ( \sqrt[3]{729}=9 ).
Answer:
( 9 )