Question

Simplifique:





a) √14 × √15 sobre √6

b)     ∛9 × ∛10 sobre ∛11 × ∛12

c)    ∛√8

Answer 1

a) $\frac{ \sqrt{14} *\sqrt{15} }{\sqrt{6}}$ =

$\frac{ \sqrt{14*15} }{ \sqrt{6} }$ =

$\frac{ \sqrt{210} }{ \sqrt{6} }$ =

$\sqrt{ \frac{210}{6} }$=

$\sqrt{35}$

b) $\frac{ \sqrt[3]{9} *\sqrt[3]{10} }{ \sqrt[3]{11} *\sqrt[3]{12} }$ =

$\frac{ \sqrt[3]{9*10} }{ \sqrt[3]{11*12} }$ = 

$\frac{ \sqrt[3]{90} }{ \sqrt[3]{132} }$ =

$\sqrt[3]{ \frac{90}{132} }$ = 

$\sqrt[3]{ \frac{15}{22} }$

c) $\sqrt[3]{ \sqrt{8} }$ =

$\sqrt[3*2]{8}$ =

$\sqrt[6]{8}$