Answer:3[tex]\sqrt{6}[/tex]
We first need to break up 54 into prime factors. An easy way to do this is two divide by something like 2 or 3 and repeating the process until you end up with all prime numbers. Simplifying 54 would look something like this. 54 = 27*2 , 27 = 9*3 , 9 = 3*3
We now take all the prime factors we have there and rewrite it into [tex]\sqrt{54}[/tex] = [tex]\sqrt{2*3*3*3}[/tex]. We have to take out each pair of the same factor we see since its the square root. Resulting in [tex]3\sqrt{2*3}[/tex] Simplify the inside and we finally get the answer of 3[tex]\sqrt{6}[/tex]
