What is the modulus of the complex number ?

Answer and explanation

Correct answer: A. 17

  1. Step 1: For any complex number , the absolute value (modulus) is given by .
  2. Step 2: Plug in and : .
  3. Step 3: Computing the square root yields .
Answer
17.
Why not the others: 7 subtracts the imaginary part from the real part (); 289 computes , forgetting to take the square root; 23 naively adds the real and imaginary parts ().

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