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  • 07-11-2018
  • Mathematics
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How do you simplify 4/^3√4

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gmany
gmany gmany
  • 11-11-2018

[tex]\dfrac{4}{\sqrt[3]{4}}=\dfrac{4\cdot\sqrt[3]2}{\sqrt[3]{4}\cdot\sqrt[3]2}=\dfrac{4\sqrt[3]2}{\sqrt[3]{4\cdot2}}=\dfrac{4\sqrt[3]2}{\sqrt[3]8}=\dfrac{4\sqrt[3]2}{2}=2\sqrt[3]2[/tex]

[tex]Use\ \sqrt[3]a\cdot\sqrt[3]b=\sqrt[3]{ab}[/tex]

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