Question

[tex] \sqrt[3]{54} : \sqrt[3]{2} =
[/tex]

$(\sqrt{2} ) ^{2} ( \sqrt[4]{3} ) ^{8} =$

Answer 1

$\sqrt[3]{54} = \sqrt[3]{2*3^3} =3 \sqrt[3]{2}$
$\sqrt[3]{54} : \sqrt[3]{2} =3 \sqrt[3]{2} : \sqrt[3]{2} =3$

$(\sqrt{2})^2=2$
$( \sqrt[4]{3} )^8=(3^{ \frac{1}{4} } )^8 =3^{ \frac{8}{4} }=3^2=9$
$( \sqrt{2})^2 ( \sqrt[4]{3} )^8=2*9=18$