Answer:
[tex]9[/tex]
Step-by-step explanation:
The prime factorization of [tex]192[/tex] is [tex]2^6 \cdot 3[/tex], and since [tex]2^6[/tex] is already a perfect cube of [tex]4[/tex], we just have to deal with the [tex]3[/tex]. To make it a perfect cube, we have to multiply [tex]3[/tex] three times, and so we have to make it [tex]3 \cdot 3 \cdot 3[/tex], and we already have one three so we just add the other two threes, which equal [tex]3^2=9[/tex].
