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Express 64 as the sum of consecutive odd numbers that is used in the pattern (for ): 64 = 13 + 15 + 17 + 19. How many odd numbers are added?

Class 8Cubes and Cube RootsCubes and Roots
  • A4
  • B5
  • C8
  • D3

Step-by-Step Solution

For , the cube is the sum of 4 consecutive odd numbers: 13 + 15 + 17 + 19 = 64. So 4 odd numbers are added.
Answer: A) 4

Key idea: Cube root of negative integers

Cube roots of negatives are real numbers (unlike square roots).

∛ = −∛.

Example: ∛(−125). . So ∛.

This is one place where square root and cube root behave differently — square roots of negatives are NOT real (they're imaginary, a Class 11 topic). Cube roots of negatives are perfectly normal.

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