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Which two integers is 943\sqrt[3]{94} between?\newlineChoices:\newline(A) 1313 and 1414\newline(B) 88 and 99\newline(C) 44 and 55\newline(D) 55 and 66

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Q. Which two integers is 943\sqrt[3]{94} between?\newlineChoices:\newline(A) 1313 and 1414\newline(B) 88 and 99\newline(C) 44 and 55\newline(D) 55 and 66
  1. Identify Perfect Cubes: Step 11: Identify the perfect cubes near 9494. Find the perfect cubes just below and just above 9494. The perfect cube just below 9494 is 6464 (43=644^3 = 64). The perfect cube just above 9494 is 125125 (53=1255^3 = 125).
  2. Calculate Cube Roots: Step 22: Calculate the cube roots of 6464 and 125125.\ Calculate 643=4\sqrt[3]{64} = 4.\ Calculate 1253=5\sqrt[3]{125} = 5.
  3. Determine Integer Range: Step 33: Determine between which integers 943\sqrt[3]{94} falls.\newlineSince 643=4\sqrt[3]{64} = 4 and 1253=5\sqrt[3]{125} = 5, 943\sqrt[3]{94} is between 44 and 55.

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