Question

Retire os fatores do radicando e simplifique

a)√2⁴ •5
b) 3√72
c) ³√200
d) √128

Answer 1

Resposta:

a)2.2√5= 4√5

b)3√72=3√2³.3²= 3.2.3√2= 18√2

72|2

36|2

18|2

9|3

3|3

1

c)³√200=³√2³.5²= 2³√5²

200|2

100|2

50|2

25|5

5|5

1

d)√16x³=√2².2².x².x = 2.2.x√x= 4x√x

16|2

8|2

4|2

2|2

1

Answer 2

a)√2⁴ •5 = √16 •5 = 4√5

b) 3√72 = 3√36•2 = 3(6)√2 = 18√2

c) ³√200 = ³√2³.25 = 2 ³√25

d) √128 = √64.2 = 8√2