How do you rationalize the denominator and simplify $(3sqrt2+ sqrt3)/(2sqrt2 - 3sqrt3)$ ?

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Answer 1 · 2015-04-10T18:29:54

Multiply the numerator and the denominator by the conjugate of the denominator.

$(3sqrt(2)+sqrt(3))/(2sqrt(2)-3sqrt(3)) * (2sqrt(2)+3sqrt(3))/(2sqrt(2)+3sqrt(3))$

$=(21+11sqrt(6))/(8-27)$

$= -(21+11sqrt(6))/19$

How do you rationalize the denominator and simplify (3sqrt2+ sqrt3)/(2sqrt2 - 3sqrt3)(3sqrt2+ sqrt3)/(2sqrt2 - 3sqrt3)?