Question

Help me ;-;

Answer 1

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

\(=\dfrac{3-\sqrt{5}+3+\sqrt{5}}{2}=\dfrac{6}{2}=3\)

3: \(A=\left(\sqrt{3}+1\right)\cdot\sqrt{4+2\sqrt{3}}\cdot\left(\sqrt{3}-2\right)\)

\(=\left(\sqrt{3}+1\right)^2\cdot\left(\sqrt{3}-2\right)\)

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

\(=4\sqrt{3}-8+6-4\sqrt{3}=-2\)