Question

thực hiện phép tính

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

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Answer 1

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

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

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

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

Answer 2

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