Which integer can be placed under the radical to make the statement true (picture link)
![Which integer can be placed under the radical to make the statement true picture link class=](https://us-static.z-dn.net/files/d46/9f34cc14e435068e2426b80d2cf8fdff.jpg)
Answer:
[tex]\hookrightarrow \sf \large{\sf \sqrt[3]{?} = 4 \sqrt[3]{3}}[/tex]
[tex]\hookrightarrow \large{ \sf ? =(4\sqrt[3]{3} )^3}[/tex]
[tex]\hookrightarrow \sf ? =192[/tex]
192 can be placed to make the radical statement true.
Let that be x
[tex]\\ \rm\rightarrowtail \sqrt[3]{x}=4\sqrt[3]{3}[/tex]
[tex]\\ \rm\rightarrowtail x=(4\sqrt[3]{3})^3[/tex]
[tex]\\ \rm\rightarrowtail x=4^3(3)[/tex]
[tex]\\ \rm\rightarrowtail x=64(3)[/tex]
[tex]\\ \rm\rightarrowtail x=192[/tex]