Question 165246
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.