Hi, I am new to the forum, and I hope I am posting this in the right place:

Question from our grade 12 exchange student:

a and b are integers such that

0 < a < b

A = sqroot (ab)

He was able to answer the first question as follows:

1) show that a < A < b

a < b

a*a < b*a

a^2 < ba

a < sqroot(ba)

therefore

a < A < b

he was unable to answer the following:

2) show that

a < 2ab/(a+b) < A

Thanks in advance!