[tex]\frac{|6-9\sqrt{5|} }{3} \\\\\\6-9\sqrt{5} < 0\\|6-9\sqrt{5} | = -(6-9\sqrt{5} )\\-(6-9\sqrt{5}) = -6+9\sqrt{5} = 9\sqrt{5} -6\\\\\frac{9\sqrt{5} -6}{3} = \frac{3(3\sqrt{5}-2) }{3} = 3\sqrt{5} -2[/tex]
[tex]|2-4\sqrt{2}| * |\sqrt{2} -3|\\\\2-4\sqrt{2} < 0\\|2-4\sqrt{2}| = -(2-4\sqrt{2} ) = 4\sqrt{2} -2\\\\\sqrt{2} -3 <0\\\\|\sqrt{2} -3| = 3-\sqrt{2} \\\\(4\sqrt{2} -2) * (3-\sqrt{2} ) = 12\sqrt{2} -8-6+2\sqrt{2} = 14\sqrt{2} -8-6=14\sqrt{2} -14[/tex]
