1) 72=2³ * 3²
108=2² * 3³
192=2^(6) *3
∛72 * √108 = ∛(2³*3²) * √(2²*3³) = 2 ∛3² * 2 √3³ =
(6)√192 (6)√(2^(6)*3) 2 * (6)√3
=2 (6)√3^(4) * (6)√3^(9) = 2 * (6)√(3^(4+9-1)) = 2 * (6)√3^(12) =
(6)√3
= 2 * 3² = 18
2) 96=2^(5) *3
36=2²*3²
6=2*3
√96 * ∛36 = √(2^(5)*3) * ∛(2²*3²) = (6)√(2^(5)*3)³ * (6)√(2²*3²)² =
(6)√6 (6)√(2*3) (6)√(2*3)
=(6)√(2^(15) * 3³ * 2^(4) *3^(4)) = (6)√(2^(18) * 3^(6)) =
(6)√(2*3)
=2³ * 3 = 8*3=24