jjchitwood jjchitwood

07-06-2022
Mathematics

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Use the strategy to simplify 4√576
Write the prime factorization of the radicand.

Use the strategy to simplify 4576 Write the prime factorization of the radicand class=

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konrad509 konrad509

07-06-2022

[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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