Question - Approximating the Cube Root of an Integer
Solution:
To solve the question: "Which integer is closest to cubed root of 976?" we will look for a perfect cube close to 976.We may not be able to find the exact cubed root instantly, but we can approximate by considering the cubes of integers. For example:- $$ 9^3 = 729 $$- $$ 10^3 = 1000 $$Given that 976 lies between 729 and 1000, we can determine that the cube root of 976 is between 9 and 10. But because 976 is closer to 1000 than it is to 729, it's cube root will be closer to 10.Therefore, the integer closest to the cube root of 976 is 10.
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