CamdenO148188 CamdenO148188
  • 26-10-2022
  • Mathematics
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select the simplification that accurately explains the following statement[tex] \sqrt[4]{2} = {2}^{ \frac{1}{4} } [/tex]

select the simplification that accurately explains the following statementtex sqrt42 2 frac14 tex class=

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NandiniL566395 NandiniL566395
  • 26-10-2022
[tex]\sqrt[4]{2}=2^{\frac{1}{4}}[/tex]

Option B

[tex]\begin{gathered} 2^{\frac{1}{4}}=2^{\frac{1}{4}} \\ 2=(2^{\frac{1}{4}})^4=2^{\frac{1}{4}}\text{ }\times2^{\frac{1}{4}}\times2^{\frac{1}{4}}\times2^{\frac{1}{4}}=2^{\frac{1}{4}+\frac{1}{4}\text{ +}\frac{1}{4}+\frac{1}{4}}=2^{\frac{4}{4}}=2^1=2 \end{gathered}[/tex]

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