Question 87847: simplify
square root of 108
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website!  Start with the given expression
The goal of simplifying expressions with square roots is to factor the radicand into a product of two numbers. One of these two numbers must be a perfect square. This way the perfect square will become a rational number.
So let's list the factors of 108
Factors:
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54,
Notice how 36 is the largest perfect square, so lets break 108 down into 36*3
 Factor 108 into 36*3
 Break up the square roots using the identity 
 Take the square root of the perfect square 36 to get 6
So the expression
simplifies to
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