Simplify the expresion \sqrt[4]{3. \sqrt[4]{432} }

Question

Simplify the expresion

`\sqrt[4]{3. \sqrt[4]{432} }`

Answer 1

`\sqrt[4]{3. \sqrt[4]{432}}`
=
`\sqrt[4]{3. \sqrt[4]{2^4.3^3} }`
=
`\sqrt[4]{3.2.3^(3)/(4)}`
=
`3^(1)/(4).2^(1)/(4).3^(3)/(16)`
=
`3^(7)/(16).2^(1)/(4)`