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sqrt(12)*2*sqrt(18)*sqrt(24) = sqrt(4*3)*2*sqrt(2*9)*sqrt(4*2*3)

= sqrt(4)*sqrt(3)*2*sqrt(2)*sqrt(9)*sqrt(4)*sqrt(2)*sqrt(3)

= 2*sqrt(3)*2*sqrt(2)*3*2*sqrt(2)*sqrt(3)

= 24*sqrt(2)*sqrt(2)*sqrt(3)*sqrt(3)

= 24*2*3

= 144

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