What is the modulus of the complex number ?

Answer and explanation

Correct answer: C. 13

  1. Step 1: The modulus of a complex number is defined as its Euclidean distance from the origin: .
  2. Step 2: Substitute real part and imaginary part : .
  3. Step 3: Evaluate the sum of squares and take the square root: .
Answer
13.
Why not the others: 7 subtracts the imaginary part from the real part (); 17 naively adds the real and imaginary parts (); 169 computes , forgetting to take the square root.

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