sharbrack sharbrack
  • 11-07-2017
  • Mathematics
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Multiplying Radicals - Urgent request attached

Multiplying Radicals Urgent request attached class=

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Sxerks Sxerks
  • 11-07-2017
[tex]\sqrt[3]{5} \cdot \sqrt{2} = \frac{\sqrt[3]{5 \cdot 2}}{\sqrt[3]{2}} \cdot \sqrt{2}[/tex]
[tex]= \sqrt[3]{10} \cdot \sqrt[6]{2}[/tex]
[tex]= \sqrt[3]{10} \cdot \frac{\sqrt[6]{200}}{\sqrt[6]{100}}[/tex]
[tex]= \sqrt[3]{10} \cdot \frac{\sqrt[6]{200}}{\sqrt[6]{10^{2}}}[/tex]

[tex]= \sqrt[6]{200}[/tex]

(ie B)

I may have performed unnecessary steps, but that's my process.
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