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Arrange the following numbers in increasing order: \begin{align*} A &= \frac{2^{1/2}}{4^{1/6}}\\ B &= \sqrt[12]{128}\vphantom{dfrac{2}{2}}\\ C &= \left( \frac{1}{8^{1/5}} \right)^2\\ D &= \sqrt{\frac{4^{-1}}{2^{-1} \cdot 8^{-1}}}\\ E &= \sqrt[3]{2^{1/2} \cdot 4^{-1/4}}.\vphantom{dfrac{2}{2}} \end{align*}Enter the letters, separated by commas. For example, if you think that $D < A < E < C < B$, then enter "D,A,E,C,B", without the quotation marks.

 

 

 

 

Note: The following answers are incorrect 

C, A, B, E, D  

A, C, D, E, B

E, B, D, C, A

 Apr 18, 2021
 #1
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A = 1.122462

B = 1.498307

C = 0.65975

D = 1.4142

E = 1.0594

 

C < E < A < D < B

 Apr 18, 2021
 #2
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0

That answer is incorrect

 Apr 18, 2021

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