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

 Jan 25, 2021
 #1
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(21/2)= 23 = 8

 Jan 25, 2021
 #2
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\(\displaystyle 2^\frac{1}{2}=y^{\frac{1}{6}}\\~\\ \displaystyle \left(2^\frac{1}{2}\right)^6=\left(y^{\frac{1}{6}}\right)^6\\~\\ \displaystyle 2^3=y\\~\\ y=8\)

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 Jan 25, 2021

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