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how to simplify 3\(\sqrt{27}\)

 Mar 30, 2016
 #1
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You are given:

 

3 \(\sqrt{27}\)

Let's ignore the three for now. So you have:

 

\(\sqrt{27}\)

Now we can separate the multiples of 27 INSIDE the square root and see if any are perfect squares:

 

\(\sqrt{9 * 3}\)

Nine is a perfect square and if you square nine you get three, put that three on the outside:

 

\(\sqrt{3}\)

Dont forget to multiply the three back in!

 

9\(\sqrt{3}\)

 Mar 30, 2016

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