Which one is Greater in the following

1- √2

2- cube root 3

3- cube root 4

4- cube root 2

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Solution

Root 2 approximately equal to 1.414

cube root 3 approximately equal to 1.442

cube root 4 approximately equal to 1.587

cube root of 2 approximately equal to 1.259

so cube root 4 is greater for positive values

if you meant negative values then least value will be the highest
then cube root of 2 will be the highest. (for negative values)

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\frac{3^{3}}{8}

△ = ∣ ∣ ∣ ∣ \begin{matrix} - a & 2 b & 0 0 & - a & 2 b 2 b & 0 & - a \end{matrix} ∣ ∣ ∣ ∣ = 0,

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