Prove inequality 1 + 1 / √ 2 + 1 / √ 3 +. + 1 / √ n

Prove inequality 1 + 1 / √ 2 + 1 / √ 3 +. + 1 / √ n


When n = 1, left = 1 and right = 2 hold
Suppose n = K
That is 1 + 1 / √ 2 + 1 / √ 3 +. + 1 / √ K