Problem: The lengths of two line segments are a units and b units respectively. Then the correct relation between them is:
Answer Choices:
A. 2(a+b)​>ab​
B. 2(a+b)​<ab​
C. 2(a+b)​=ab​
D. 2(a+b)​≦ab​
E. 2(a+b)​≧ab​
Solution:
For aî€ =b, Arithmetic Mean > Geometric Mean. For a=b, Arithmetic Mean = Geometric Mean.
∴(a+b)/2≥ab​