Question - Calculating Cube Root and Nearest Integer Estimation
Solution:
To solve the cube root of 112 and find the integer closest to this value, we will first identify the perfect cubes near 112 to estimate the cube root.The perfect cubes closest to 112 are:- $$ 4^3 = 64 $$- $$ 5^3 = 125 $$Since 112 is between 64 and 125, we know the cube root of 112 will be between 4 and 5. Because 112 is closer to 125 than it is to 64, the cube root of 112 will be closer to 5.Therefore, the integer closest to $$ \sqrt[3]{112} $$ is 5.
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