Post-UTMEMathematicsAlgebra

Cube root of 27.

A1
B3CORRECT
C9
D27
AI
Toasta AI Explanation
Why the answer is B, and why the others tempt you.
**The reasoning** The cube root asks: "What number, when multiplied by itself THREE times, gives 27?" Let's call this mystery number *x*. We're looking for: x × x × x = 27 Try x = 3: 3 × 3 × 3 = 9 × 3 = 27 ✓ So ∛27 = 3 Think of it like unpacking a cube: if you have a cube with volume 27 cm³, each side measures 3 cm. **Why the wrong options tempt you** - **A) 1** — You might confuse this with ∛1 = 1, but 1×1×1 = 1, not 27 - **C) 9** — This is the *square* root trap! √27 is close to 5, but students often see 3×9 = 27 and pick 9. Remember: 9×9×9 = 729, way too big! - **D) 27** — This assumes the cube root of a number is itself, which only works for 1 **Quick takeaway** Cube root means "what number times itself THREE times gives this?" — always multiply your answer three times to verify: 3×3×3 = 27. ✓
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