which integer is closest to \$\\sqrt3{114}\$?

$which integer is closest to \$\\sqrt3{114}\$?$

which integer is closest to \$\sqrt3{114}\$?

$4^3 = 64$, $5^3 = 125$

Distance to $4^3$: $114 - 64 = 50$
Distance to $5^3$: $125 - 114 = 11$

11 < 50, so 125 is closer.

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