Question

simplicar y realizar las siguientes operaciones
a.3√54 - 3√24 -3√16
b. a 3√250b - 3√3ab^3 -5 3√2a^3b +3b 3√3a
c. 1/2 √21 * 2/3 √42 * 3/7 √22

Answer 1

a.3√54 - 3√24 -3√16 = 3√9√6 - 3√6√4 - 3√16 = 9√6 - 6√6 - 12 = 3√6 - 12


b. a 3√250b - 3√3ab^3 -5 3√2a^3b +3b 3√3a
= a∛125∛2b - ∛3a∛b³ - 5∛2b∛a³ + 3b∛3a = 5a∛2b - b∛3a - 5a∛2b + 3b∛3a = 2b∛3a

c. 1/2 √21 * 2/3 √42 * 3/7 √22 = 1/2 √21 * 2/3 √21 √2 * 3/7 √2 √11 = 
1/3 (21)√2 * 3/7 √2 √11 = 7√2 * 3/7 √2 √11 = 3*2*√11 = 6√11

Saludos!