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Complete the following statement. Use the integers that are closest to the number in middle. ◻ < root(3)(59) < ◻

Complete the following statement. Use the integers that are closest to the number in middle.\newline□\square\newline<593<< \sqrt[3]{59} <\newline□\square

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Full solution

Q. Complete the following statement. Use the integers that are closest to the number in middle.\newline□\square\newline<593<< \sqrt[3]{59} <\newline□\square
  1. Understand the problem: Step 11: Understand the problem. We need to find the integers closest to the cube root of 5959.
  2. Estimate cube root: Step 22: Estimate the cube root of 5959. Since 43=644^3 = 64 and 33=273^3 = 27, the cube root of 5959 is between 33 and 44.
  3. Calculate cube: Step 33: Calculate 3.533.5^3 to check if it's closer to 5959. 3.53=42.8753.5^3 = 42.875.

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