58.4k views
3 votes
Prove that the geometric mean of two real numbers a and b, is greater than or equal to the harmonic mean of a and

b.

1 Answer

3 votes
Note that the inequality is only true when a and b are both the same sign (because the geometric mean requires a×b to be positive).

This allows us to take the square root of the inequality in step 6 without worrying about a negative radicand.
Prove that the geometric mean of two real numbers a and b, is greater than or equal-example-1
User Krzaq
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories