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ktreyb

You cannot have radicals in the denominator. So your first step would be to multiply both the top and bottom by √6.

12(√6) / 5(√6)(√6)

The (√6)(√6) is like doing (√6)². Squaring something that is square-rooted just cancels each other out. This leaves you with just 6. So, simplify and get this:

12√6 / 5(6) = 12√6 / 30

12 and 30 have a greatest common factor of 6 so you divide both of these numbers by 6. Your answer becomes:

(2√6) / 5

Multiply the numerator and denominator by the conjugate.