Question

Which integer can be placed under the radical to make the statement true (picture link)

Answer 1

Let that be x

`\\ \rm\rightarrowtail \sqrt[3]{x}=4\sqrt[3]{3}`

`\\ \rm\rightarrowtail x=(4\sqrt[3]{3})^3`

`\\ \rm\rightarrowtail x=4^3(3)`

`\\ \rm\rightarrowtail x=64(3)`

`\\ \rm\rightarrowtail x=192`

Answer 2

`\hookrightarrow \sf \large{\sf \sqrt[3]{?} = 4 \sqrt[3]{3}}`

`\hookrightarrow \large{ \sf ? =(4\sqrt[3]{3} )^3}`

`\hookrightarrow \sf ? =192`

192 can be placed to make the radical statement true.