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Cube and Cube Roots — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSCube and Cube Roots1 Mark
MCQ
The cube root of $13824$ is __________.
  • A
    $16$
  • ✓
    $24$
  • C
    $25$
  • D
    $36$
✓

Answer

Correct option: B.
$24$
Prime factorisation of $13824$ is:
$13824 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3$
$13824 = (2 \times 2 \times 2) \times (2 \times 2 \times 2) \times (2 \times 2 \times 2) \times (3 \times 3 \times 3)$
Taking cube root both the sides, we get;
$(13824) = 2 \times 2 \times 2 \times 3 = 24$

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