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