Question

\(C=\sqrt{\left(5-\sqrt{3}\right)^2}+\sqrt{7-4\sqrt{3}}\)

Answer 1

C = \(\sqrt{\left(5-\sqrt{3}\right)^2}+\sqrt{7-4\sqrt{3}}\)

C = \(\sqrt{\left(5-\sqrt{3}\right)^2}+\sqrt{\left(2-\sqrt{3}\right)^2}\)

C = \(\left|5-\sqrt{3}\right|+\left|2-\sqrt{3}\right|\)

C = \(5-\sqrt{3}+2-\sqrt{3}\)

C = \(7-2\sqrt{3}\)

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Answer 2

\(C=\sqrt{\left(5-\sqrt{3}\right)^2}+\sqrt{7-4\sqrt{3}}\)

\(C=5-\sqrt{3}+\sqrt{\left(2-\sqrt{3}\right)^2}\)

\(C=5-\sqrt{3}+2-\sqrt{3}\)

\(C=7-2\sqrt{3}\)