Question

Answer 1

\(=\left(3+\sqrt{5}\right)\sqrt{\left(3-\sqrt{5}\right)^2}-\sqrt{\left(10+\sqrt{3}\right)^2}+\sqrt{3}\\ =\left(3+\sqrt{5}\right)\left(3-\sqrt{5}\right)-\left(10+\sqrt{3}\right)+\sqrt{3}\\ =9-5-10-\sqrt{3}+\sqrt{3}=-6\)

Answer 2

\(=\left(3+\sqrt{5}\right)\sqrt{\left(3-\sqrt{5}\right)^2}-\sqrt{\left(10+\sqrt{3}\right)^2}+\sqrt{3}\)

\(=\left(3+\sqrt{5}\right)\left(3-\sqrt{5}\right)-10-\sqrt{3}+\sqrt{3}=9-5-10=-6\)