Answer:
? = 1000
Step-by-step explanation:
Zarea is making use of the fact that the cube root of a product is the product of the cube roots. She is factoring out the largest perfect cube in the number 6000.
[tex]\displaystyle \sqrt[3]{6000}=\sqrt[3]{1000\cdot6}=\sqrt[3]{\boxed{1000}}\cdot\sqrt[3]{6}=10\sqrt[3]{6}[/tex]
The missing value in Zarea's work is 1000.
