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Answer :

[tex]\begin{array}{r|l}576&2\\288&2\\144&2\\72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}[/tex]

[tex]576=2^6\cdot3^2[/tex]

Therefore

[tex]4\sqrt{576}=4\sqrt{2^6\cdot3^2}[/tex]

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