Question

Answer 1

\(a,=\sqrt{5}-2-3+\sqrt{5}+\sqrt{5}-\sqrt{2}-\sqrt{2}-3-3\sqrt{5}+\dfrac{2\sqrt{3}}{3}\\ =-7-2\sqrt{2}+\dfrac{2\sqrt{3}}{3}=\dfrac{2\sqrt{3}-21-6\sqrt{2}}{3}\)

\(b,=\sqrt{\left(\sqrt{6}+1\right)^2}-\sqrt{\left(\sqrt{2}-1\right)^2}+\sqrt{\left(\sqrt{3}-\sqrt{2}\right)^2}\\ =\sqrt{6}+1-\sqrt{2}+1+\sqrt{3}-\sqrt{2}=\sqrt{6}+\sqrt{3}-2\sqrt{2}+2\\ c,=\sqrt{\left(a-3\right)^2}-\sqrt{\left(a+1\right)^2}=\left|a-3\right|-\left|a+1\right|\)