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Answer:

6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

First, we take out any factors of 180 which are squares.

The square factor 9 is most easily seen.

So, [tex]\sqrt{180} = \sqrt{9 * 20}[/tex] which is equal to [tex]3\sqrt{20}[/tex].

Again, we can take out more factors. Notice that 4 is 2 squared and a factor of 20. So, [tex]3 \sqrt{ 4* 5}[/tex] which is equal to 3 × 2 × [tex]\sqrt{5}[/tex], which is 6[tex]\sqrt{5}[/tex].

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