Given that , find the maximum constant for which the following inequality always holds true:
Let and be positive real numbers such that . Find the maximum value of .
Let and be positive reals satisfy . Find the minimum value of the expression above.
Give your answer to 2 decimal places
For some positive reals satisfying , determine the maximum possible value of
There exist 3 positive numbers such that their sum is 8 and their product is 27.
Is this true?