1) \(\left(3-\sqrt{5}\right)\left(\sqrt{5}-2\right)-\sqrt{5}\left(\sqrt{5}-5\right)\)
\(=3\sqrt{5}-6-5+2\sqrt{5}-5+5\sqrt{5}\)
\(=\left(3\sqrt{5}+2\sqrt{5}+5\sqrt{5}\right)-\left(6+5+5\right)\)
\(=10\sqrt{5}-16\)
2) \(\left(3+\sqrt{5}\right)^2-8\sqrt{5}-14\)
\(=3^2+2\cdot3\cdot\sqrt{5}+\left(\sqrt{5}\right)^2-8\sqrt{5}-14\)
\(=9+6\sqrt{5}+5-8\sqrt{5}-14\)
\(=-2\sqrt{5}\)
3) \(\left(5+\sqrt{3}\right)\left(1-\sqrt{3}\right)-\left(1-2\sqrt{3}\right)^2\)
\(=5-5\sqrt{3}+\sqrt{3}-3-1^2+4\sqrt{3}-12\)
\(=\left(5-3-1-12\right)-\left(5\sqrt{3}-\sqrt{3}-4\sqrt{3}\right)\)
\(=-11\)
d) \(\left(2-3\sqrt{5}\right)\left(2+3\sqrt{5}\right)\)
\(=2^2-\left(3\sqrt{5}\right)^2\)
\(=4-45\)
\(=-41\)
