If a > b > 0, then \(\sqrt{a^2 - b^2}\)

A. \(a + b - \sqrt{2ab}\)

B. \(a - b + \sqrt{2ab}\)

C. \(\sqrt{(a-b)^2 - 2ab}\)

D. \((\sqrt{a+b}) (\sqrt{a-b})\)

E. \((\sqrt{a} + \sqrt{b}) (\sqrt{a}-\sqrt{b})\)

What is the difference between D and E

I thought because of the numbers being all under the square root e.g. in D \((\sqrt{a+b})\)

that you will have to subtract a from b first giving e.g. answer\(\sqrt{c}\) and for the other one e.g.\(\sqrt{d}\)

And therefore \((\sqrt{c})(\sqrt{d})\) a totally different value?

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