$2\sqrt[3]{2}$ is the sixth root of what positive whole number?

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13 votes

Answer:

Hello,

Explanation:

$\sqrt[6]{x} =\sqrt{(3)/(2) } \\\\x=(\sqrt{(3)/(2) } )^6\\\\x=((3)/(2) )^{(6)/(2)}\\ \\x=((3)/(2) )^3\\\\\boxed{x=(27)/(8) }\\$

Derek Tomes answered Feb 15, 2023

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