Let be positive real numbers. Prove that

**Solution**

We apply the AM – GM inequality, thus:

Hence it suffices to prove that which holds because it is equivalent to .

A site of university mathematics

Home » Uncategorized » Inequality with roots

Let be positive real numbers. Prove that

**Solution**

We apply the AM – GM inequality, thus:

Hence it suffices to prove that which holds because it is equivalent to .