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Which two integers is 103\sqrt[3]{10} between?\newlineChoices:\newline(A) 1212 and 1313\newline(B) 22 and 33\newline(C) 00 and 11\newline(D) 1313 and 1414

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Q. Which two integers is 103\sqrt[3]{10} between?\newlineChoices:\newline(A) 1212 and 1313\newline(B) 22 and 33\newline(C) 00 and 11\newline(D) 1313 and 1414
  1. Identify Perfect Cubes: Identify the perfect cubes near 1010. The perfect cube just below 1010 is 88 (23=82^3 = 8). The perfect cube just above 1010 is 2727 (33=273^3 = 27).
  2. Calculate Cube Roots: Calculate the cube root of 88.\newlineSince 23=82^3 = 8, the cube root of 88 is 22.
  3. Determine Range: Calculate the cube root of 2727.\newlineSince 33=273^3 = 27, the cube root of 2727 is 33.
  4. Determine Range: Calculate the cube root of 2727. Since 33=273^3 = 27, the cube root of 2727 is 33. Determine between which integers the cube root of 1010 falls. Since 2 < \text{cube root of } 10 < 3, the cube root of 1010 is between 22 and 33.

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