Answer:
[tex]4\sqrt{3} -3\sqrt{2} (or) 2.68556[/tex]
Step-by-step explanation:
first you're going to simplify the radical expression:
[tex]-\sqrt{12}[/tex] becomes [tex]-2\sqrt{3}[/tex]
[tex]\sqrt{18}[/tex] becomes [tex]3\sqrt{2}[/tex]
[tex]2\sqrt{27}[/tex] becomes [tex]6\sqrt{3}[/tex]
your equation should now be [tex]-2\sqrt{3} -3\sqrt{2} +6\sqrt{3}[/tex]
next you're going to collect like terms [tex]-2\sqrt{3} +6\sqrt{3} =4\sqrt{3}[/tex]
so your final answer is [tex]4\sqrt{3} -3\sqrt{2}[/tex]
