Question

√(3 - √(5)) × (3 + √(5)) / √10+√2

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Answer 1

 √(3 - √(5)) × (3 + √(5)) / √10+√2 = 2.86142715787

Answer 2

Ta có: \(\dfrac{\sqrt{3-\sqrt{5}}\cdot\left(3+\sqrt{5}\right)}{\sqrt{10}+\sqrt{2}}\)

\(=\dfrac{\sqrt{6-2\sqrt{5}}\cdot\left(6+2\sqrt{5}\right)}{4\left(\sqrt{5}+1\right)}\)

\(=\dfrac{\left(\sqrt{5}-1\right)\left(\sqrt{5}+1\right)^2}{4\left(\sqrt{5}+1\right)}=1\)

Answer 3