SOLUTION: 24.) Rationalize the denominator and simplify. Sqrt (6)/4sqrt (3+sqrt (2)

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Question 165246: 24.) Rationalize the denominator and simplify.
Sqrt (6)/4sqrt (3+sqrt (2)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the denominator and simplify.
Sqrt (6)/[4sqrt (3) + sqrt (2)]
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Multiply numerator and denominator by 4sqrt(3) - sqrt(2) to get:
= 6[4sqrt(3) - sqrt(2) / [(4sqrt(3))^2 - (sqrt(2))^2]

= [6[4sqrt(3) - sqrt(2)] / [48 - 2]
= [3[4sqrt(3) - sqrt(2)] / [23]
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Cheers,
Stan H.