Difficulty: Easy
Correct Answer: 0.06
Explanation:
Problem restatement
Evaluate √√√(0.000216).
Concept/Approach
Use the property √√√(a × 10k) = √√√(a) × 10k/3. Recognize 0.000216 = 216 × 10−6.
Step-by-step calculation
√√√(0.000216) = √√√(216) × √√√(10−6)= 6 × 10−2 = 0.06
Verification/Alternative
(0.06)3 = 0.000216, confirming the result.
Common pitfalls
Taking cube root of the exponent incorrectly (e.g., using 10−3 instead of 10−2).
Final Answer
0.06
Discussion & Comments