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What is the modulus of the complex number -5 + 12i?

Mathematics

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Answer

13\text{13}

Step-by-step solution

2 steps

Q1: The modulus of a complex number a+bia+bi is given by a2+b2\sqrt{a^2 + b^2}.

  1. Identify aa and bb.

    For the complex number −5+12i-5 + 12i, we have a=−5a = -5 and b=12b = 12.

  2. Calculate the modulus.

    Modulus=(−5)2+(12)2=25+144=169=13\text{Modulus} = \sqrt{(-5)^2 + (12)^2} = \sqrt{25 + 144} = \sqrt{169} = 13

    The correct option is 13.

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