1.\(=\sqrt{x}\left(\sqrt{y}-\sqrt{x}\right)\)
2.\(=\left(\sqrt{x}-\sqrt{y}\right)^2\)
3.\(=\sqrt{x^2y}-\sqrt{xy^2}=\sqrt{xy}\left(\sqrt{x}-\sqrt{y}\right)\)
4.\(2\sqrt{5}\left(1-\sqrt{2}\right)-\sqrt{3}\left(1-\sqrt{2}\right)\)=\(\left(1-\sqrt{2}\right)\left(2\sqrt{5}-\sqrt{3}\right)\)
5.=\(\sqrt{7.5}-\sqrt{7.2}=\sqrt{7}\left(\sqrt{5}-\sqrt{2}\right)\)
6.\(=\sqrt{y}\left(\sqrt{x}-3\right)+2\left(\sqrt{x}-3\right)=\left(\sqrt{x}-3\right)\left(\sqrt{y}+2\right)\)
7.\(=\left(\sqrt{5}+\sqrt{2}\right)^2\)
8.\(=\left(\sqrt{3}-\sqrt{2}\right)^2\)
9.\(=\sqrt{x-y}.\sqrt{x+y}-\left(x-y\right)\)
=\(\sqrt{x-y}\left(\sqrt{x+y}-\sqrt{x-y}\right)\)
10.\(=\sqrt{x}\left(3\sqrt{x}-2\right)\)
