ACT Math Practice Question #2008 (Hard (550)) | Test Citadel
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ACT Math Difficulty: Hard (550)

Digital ACT Math Practice Question #2008

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What is the value of the product (5 + 2i)(5 - 2i), where i = sqrt(-1)?
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(a+bi)(a-bi) = a^2 + b^2 = 5^2 + 2^2 = 29.

Masterclass Solution & Distractor Trap Analysis

Multiplying complex conjugates: (a + bi)(a - bi) = a^2 - (b^2)(i^2) = a^2 + b^2 = 5^2 + 2^2 = 29....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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