Question

Simplifique as raizes

A) 3√88

B) √162

C) 4√405

D) 3√2 808

E) 4√7 936

F) 5√18 711

Answer 1

A) 3√88 = 3√2*44 = 3√2*2*22,= 2*3√22=6√22;
B)√162 = √2*81 = √2*3*27 = √2*3*3*9 = √2*3*3*3*3 = 9√2;
C)4√405 = 4√3*135 = 4√3*3*45 = 4√3*3*3*15 = 4√3*3*3*3*5 = 4*3*3√5 = 36√5;
D)3√2808 = 3√2*1404 = 3√2*2*702=3√2*2*2*351 = 3√2*2*2*3*117=3√2*2*2*3*3*39 = 2*3*3√2*39 = 18√78;
E)4√7936=4√2*3968=4√2*2*1984=4√2*2*2*992=4√2*2*2*2*496=4√2*2*2*2*2*248=4√2*2*2*2*2*2*124=4√2*2*2*2*2*2*2*2*31 = 4*2*2*2*2√31 = 64√31;
F)5√18711 = 5√3*3*3*3*231 = 5*3*3√231 = 45√231;
VIsh até cansei aqui. espero ter respondido.