Question

√5.√20=
4√8.4√32=
√6. cubo√9=
cubo√6. cubo√9=
√6.√12
cubo√12. cubo√6=

Answer 1

Resposta:

√5 . √20=  √5.20 = √100 = 10

4√8 . 4√32= 4.4√8.32 = 16√256 = 16.16 = 256

√6 . $\sqrt[3]{9}$=  MMC {2,3} = 6

$\sqrt[2.3]{6^3}$ . $\sqrt[3.2]{9^2}$=

$\sqrt[6]{216}$ . $\sqrt[6]{81}$ =

$\sqrt[6]{216.81}$ =

$\sqrt[6]{17496}$

$\sqrt[3]{6}$. $\sqrt[3]{9}$=  $\sqrt[3]{6.9}$ = $\sqrt[3]{54}$ = $\sqrt[3]{[tex]2.3^{3}$}[/tex] = 2$\sqrt[3]{3}$ = 2.3 = 6

√6.√12  = √12.6 = √72 = √$2.2^{2}.3^{2}$ = 6√2

$\sqrt[3]{12}$ . $\sqrt[3]{6}$ = $\sqrt[3]{12.6}$ = $\sqrt[3]{72}$ = $\sqrt[3]{2³.3²}$ = 2$\sqrt[3]{9}$

Explicação passo-a-passo:

$\sqrt[3]{54}$

Aqui foi preciso fatorar o 54

54 | 2

27 | 3

9   | 3

3   | 3

1

Logo $2.3^{3}$

√72 fatorando

72 | 2

36 | 2

18 | 2

9  | 3

3  | 3