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4*sqrt(6)

sqrt(8)*sqrt(12)=sqrt(96) [because sqrt(a)*sqrt(b)=sqrt(a*b)]

To get sqrt(96) in simplest form, find the largest perfect square that is a factor of 96. This is 16 (since 16 is a perfect square and 16*6=96).

So in simplest form, sqrt(96)=sqrt(16)*sqrt(6)=4*sqrt(6).

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