[tex]\sqrt8+2\sqrt{12}+\sqrt{75}-\sqrt{300}=\sqrt{2*4}+2\sqrt{4*3}+\sqrt{3*25}-\sqrt{3*100}=2\sqrt2+2*2\sqrt3+5\sqrt3-10\sqrt3=2\sqrt2+4\sqrt3+5\sqrt3-10\sqrt3=2\sqrt2-\sqrt3[/tex]
