Question

so sánh

\(2-\sqrt{3}và3-2\sqrt{2}\)

Answer 1

\(2-\sqrt{3}< 3-\sqrt{2}\)

Answer 2

\(2-\sqrt{3}>3-2\sqrt{2}\)

Answer 3

\(2-\sqrt{3}=\dfrac{1}{2+\sqrt{3}}\)

\(3-2\sqrt{2}=\dfrac{1}{3+2\sqrt{2}}\)

mà \(2+\sqrt{3}< 2\sqrt{2}+3\)

nên \(2-\sqrt{3}>3-2\sqrt{2}\)