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!