Question 126399: Simplify
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Start with the given expression
 Combine the roots. Remember, 
 Multiply
Now let's simplify this 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. When you take the square root of this perfect square, you will get a rational number.
So let's list the factors of 2000
Factors:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000
Notice how 400 is the largest perfect square, so lets factor 2000 into 400*5
 Factor 2000 into 400*5
 Break up the square roots using the identity 
 Take the square root of the perfect square 400 to get 20
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Answer
So the expression simplifies to
In other words, 
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