SOLUTION: Divide. Rationalize the denominator if necessary. Then simplify. 6- the square root of 20 OVER 2

Question 118070: Divide. Rationalize the denominator if necessary. Then simplify.
6- the square root of 20 OVER 2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the expression

First lets reduce
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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 20
Factors:
1, 2, 4, 5, 10, 20

Notice how 4 is the largest perfect square, so lets break 20 down into 4*5

Factor 20 into 4*5

Break up the square roots using the identity

Take the square root of the perfect square 4 to get 2

So the expression

simplifies to

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Simplify the square root (using the technique above)

Break up the fraction

Divide to get

Divide to get

So the expression

simplifies to

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