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Help me, please.

 

Simplify: type the answer as a radical reduced to the simplest form.

 

108

 Feb 11, 2018
 #1
avatar+557 
+3

Answer:

6√3

Explanation 1:

√108=2*54

√108=2*2*27

√108=2*2*3*9

√108=2*2*3*3*3

2*2=2 (paired)

3*3=3 (paired)

3 on own (radical)

√108=2*3√3

√108 = 6√3

 

Explanation 2:

By factoring, we get

√108 =√36⋅3

36=62 so it is a perfect square.
We can take it out of the radical sign.

√108 = 6√3

 

 

winkwinkwink

 Feb 11, 2018
edited by lynx7  Feb 11, 2018
edited by lynx7  Feb 11, 2018

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