Modulus and Polar Form of Complex Numbers

Understanding how to calculate the modulus and rewrite complex numbers in polar form is a foundational skill in working with complex numbers in advanced mathematics.

Take the following steps to find the modulus of the given number.

  • First Step - Identify Real and Imaginary Parts: z=a+biz = a + bi
  • Second Step - Use the relation: z=a2+b2|z| = \sqrt{a^2 + b^2}
  • Third Step - Simplify the square root

Good luck! Get all questions correct to pass this lesson.

Find Modulus of the complex number

614i -6 - 14i

Find Modulus of the complex number

4+3i -4 + 3i

Find Modulus of the complex number

15i 15 - i

Find Modulus of the complex number

8 8


End of Lesson

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Polar Form of Complex Numbers
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Task 11 – Modulus Proofs