Question - Determining Closest Integer to Cube Root

Solution:

The image is asking for the integer closest to the cube root of 111.To solve this, we should look for two perfect cubes that are close to 111 and then find their cube roots. We know that:- $$4^3 = 64$$- $$5^3 = 125$$Since 111 is between 64 and 125, the cube root of 111 must be between 4 and 5. As 111 is closer to 125 than to 64, the cube root of 111 is closer to 5 than to 4.Hence, the closest integer to $$\sqrt[3]{111}$$ is 5.

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