Home/Algebra/Complex numbers/Modulus13. Complex numbersModulusLevel: fundamentalIn 13. Complex numbersFormulaCopy LaTeX∣z∣=a2+b2|z|=\sqrt{a^2+b^2}∣z∣=a2+b2Tagsalgebracomplexalgebra formulanumbers complexDetailDistance from the complex number to the origin.Explore the ideaFound an error? Contact us.Related formulasRelatedPolar and exponential formz=r(cosθ+isinθ)=reiθz=r(\cos\theta+i\sin\theta)=re^{i\theta}z=r(cosθ+isinθ)=reiθOpen formulaOpen in sectionRelatedEuclidean norm∥v∥2=∑ivi2\|\mathbf v\|_2=\sqrt{\sum_i v_i^2}∥v∥2=i∑vi2Open formulaOpen in section