Question

thực hiện phép tính

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

Answer 1

`\sqrt(2-\sqrt3) (\sqrt5 +\sqrt2)`

`=\sqrt(5(2-\sqrt3)) + \sqrt(2(2-\sqrt3))`

`=\sqrt(10-5\sqrt3)+\sqrt(4-2\sqrt3)`

Answer 2

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

\(=\dfrac{\sqrt{4-2\sqrt{3}}\left(\sqrt{5}+\sqrt{2}\right)}{\sqrt{2}}\)

\(=\dfrac{\left(\sqrt{3}-1\right)\left(\sqrt{5}+\sqrt{2}\right)}{\sqrt{2}}\)