Suggestion

Which of the following is smallest?

A)\(10 - 3\sqrt{11} \qquad\) B) \(8-3\sqrt{7} \qquad\) C) \(5-2\sqrt{6} \qquad\) D) \(9-4\sqrt{5} \qquad\) E) \(7-4\sqrt{3}\)

Given \(a - b\sqrt{c}\), how could we write this as \(\sqrt{d}-\sqrt{e}\) for some \(d\) and \(e\)?