Cauchy-Schwarz is pretty helpful

Algebra Level 2

Let \(a\), \(b\), \(c\) and \(d\) be positive reals such that \(a + b + c + d = 1\). Find the minimum value of \(\dfrac {1}{a} + \dfrac {1}{b} + \dfrac {1}{c} + \dfrac {1}{d}\).

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