Question - Approach to Finding Closest Integer to Cube Root
Solution:
To solve the question in the image, we need to find the cube root of 572 and then identify the closest integer to this value.Calculating the exact cube root of 572 might be challenging without a calculator, but we can estimate the closest integer by finding the cube roots of perfect cubes near 572.The cube of 8 is $$8^3 = 512$$, and the cube of 9 is $$9^3 = 729$$. Since 572 falls between 512 and 729, the cube root of 572 will be between 8 and 9.Since 572 is closer to 512 than it is to 729, we can safely say that the cube root of 572 will be closer to 8 than to 9.Therefore, the integer closest to the cube root of 572 is 8.
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