Question

$\sqrt{2} . \sqrt[3]{2}$

Answer 1

Aplicando propriedades operatórias de potencias e raízes

                 $\sqrt{2} . \sqrt[3]{2} \\ \\ = 2^{ \frac{1}{2} } . 2^{ \frac{1}{3} } \\ \\ = 2^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = 2^{ \frac{5}{6} } \\ \\ = \sqrt[6]{2^5}$

Answer 2

√2 * ∛2 

= 2^1/2 * 2 ^1/3

= 2^1/2+1/3

= 2^3/6 + 2/6

= 2^5/6

= $\sqrt[6]{2^5}$



_________*
Gannicus
_________*