Question 993742
<pre>
Hello. I am having an issue solving this problem and I look to you for help. My problem is:

{{{6sqrt(12)}}}-{{{8sqrt(50)}}}+{{{9sqrt(72)}}}. By using prime factorization, I know that 12 = 2^2*3
            50 = 5^2*2
            72 = 3^2*2^3
Now, I plug these terms back in and I get:
{{{6*2sqrt(3)}}}-{{{8*5sqrt(2)}}}+{{{9*3*2sqrt(2)}}} If I continue, I get:

{{{12sqrt(3)}}}-{{{40sqrt(2)}}}+{{{54sqrt(2)}}}
The answer key shows that the answer should be
 {{{57sqrt(3)}}}-{{{40sqrt(2)}}} Can you see where I went wrong? I'm not coming up with the right answer. 
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{{{57sqrt(3)}}}-{{{40sqrt(2)}}} can NEVER be the simplified answer here. This answer must be for a different problem. 
Correct answer: {{{highlight(12sqrt(3) + 14sqrt(2))}}}
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Hello. I am having an issue solving this problem and I look to you for help. My problem is:

{{{6sqrt(12)}}}-{{{8sqrt(50)}}}+{{{9sqrt(72)}}}. By using prime factorization, I know that 12 = 2^2*3
            50 = 5^2*2
            72 = 3^2*2^3 
Now, I plug these terms back in and I get:
{{{6*2sqrt(3)}}}-{{{8*5sqrt(2)}}}+{{{9*3*2sqrt(2)}}}    
{{{6*2sqrt(3)}}}-{{{8*5sqrt(2)}}}+{{{9*3*2sqrt(2)}}} If I continue, I get: 

  {{{12sqrt(3)}}}-{{{40sqrt(2)}}}+{{{54sqrt(2)}}}
= {{{12sqrt(3)}}}+{{{14sqrt(2)}}}<font size = 4><font color = red><b><==== Should be THIS, your FINAL answer!!</font></font></b>

You ALREADY have the correct answer, as you can see.</pre>