simplify (sqrt3{64})

Explanation:

Step1: Recall cube root definition

The cube root of a number ( x ), denoted as ( \sqrt[3]{x} ), is a number ( y ) such that ( y^3 = x ). So we need to find ( y ) where ( y^3 = 64 ).

Step2: Find the cube of integers

Test integers: ( 4^3 = 4\times4\times4 = 64 ). So ( \sqrt[3]{64}=4 ).

Answer:

( 4 )