- A14
- B−14
- C−7
- D−28
Step-by-Step Solution
Take one factor from each triple: . The number inside is negative, so . Answering 14 forgets that a cube root keeps the sign of the number, and −7 uses only one of the two triples.
Answer: B) −14
Given that , find .
Class 8Cubes and Cube RootsCubes and Roots
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.
∛ = −∛.
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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