SOLUTION: Rationalize the denominator and simplify 6 ___________ ____ (3 √7 – 2 √6) (3 √7 + 2 √6)

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Question 374938: Rationalize the denominator and simplify

6
________________
(3 √7 – 2 √6) (3 √7 + 2 √6)
Answer by edjones(8007) About Me  (Show Source):
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6
________________
(3 √7 – 2 √6) (3 √7 + 2 √6)
.
Let a=3sqrt(7) and b=2sqrt(6)
=6/((a-b)(a+b))
=6/(a^2-b^2)
=6/(63-24)
=6/39
=2/13
.
Ed