what is the value of \\(\\sqrt3{1,000}\\)? type the number in the box.
what is the value of \\(\\sqrt3{1,000}\\)? type the number in the box.
Answer
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 ).
Step2: Find ( y ) for ( x = 1000 )
We need to find ( y ) where ( y^3 = 1000 ). We know that ( 10 \times 10 \times 10 = 10^3 = 1000 ). So, ( \sqrt[3]{1000} = 10 ).
Answer:
10