SOLUTION: Rationalize the denominator and simplify. 12 divided by square root 7 plus 2

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Question 621140: Rationalize the denominator and simplify. 12 divided by square root 7 plus 2
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
12 divided by square root 7 plus 2
12%2F%28sqrt%287%29%2B2%29

Form the conjugate of the denominator by changing
the sign of the second term only, place it over
itself to create a fraction equal to 1 and multiply
the original expression by red%28%28sqrt%287%29-2%29%2F%28sqrt%287%29-2%29%29 

12%2F%28sqrt%287%29%2B2%29·red%28%28sqrt%287%29-2%29%2F%28sqrt%287%29-2%29%29

%2812%28sqrt%287%29-2%29%29%2F%28sqrt%287%29%2B2%29%28sqrt%287%29-2%29%29

%2812sqrt%287%29-24%29%2F%287-2sqrt%287%29%2B2sqrt%287%29-4%29

%2812sqrt%287%29-24%29%2F%287-cross%282sqrt%287%29%29%2Bcross%282sqrt%287%29%29-4%29

%2812sqrt%287%29-24%29%2F%287-4%29

%2812sqrt%287%29-24%29%2F3

%2812sqrt%287%29%29%2F3-24%2F3

4sqrt%287%29-8

Edwin