[10 + {4 * ({2/3 + 1/4} * √144/121 + 23) ÷ 12 + 5} - 3] = _______?
Correct answer: A. 20
- A. 20
- B. 8
- C. 10
- D. 15
Explanation
Interpret the radical as √(144/121) = 12/11. Since 2/3 + 1/4 = 11/12, their product is 1; the braces then give 4 x (1 + 23) ÷ 12 + 5 = 8 + 5 = 13, and the full expression is 10 + 13 - 3 = 20. Thus option a is correct, while option b, 8, results from stopping at the division step and ignoring the outside terms.
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