How do you find the absolute value of 4-8i? Precalculus Complex Numbers in Trigonometric Form Powers of Complex Numbers 1 Answer Ratnaker Mehta Jul 12, 2016 |4-8i|=sqrt{4^2+(-8)^2}=sqrt(16+64)=sqrt80=4sqrt5. Taking, sqrt5~=2.236, |z|~=4xx2.236=8.944 Explanation: Absolute Value or Modulus |z|of a Complex No. z=x+iy is defined by, |z|=sqrt(x^2+y^2). |4-8i|=sqrt{4^2+(-8)^2}=sqrt(16+64)=sqrt80=4sqrt5 Taking, sqrt5~=2.236, |z|~=4xx2.236=8.944 Answer link Related questions How do I use DeMoivre's theorem to find (1+i)^5? How do I use DeMoivre's theorem to find (1-i)^10? How do I use DeMoivre's theorem to find (2+2i)^6? What is i^2? What is i^3? What is i^4? How do I find the value of a given power of i? How do I find the nth power of a complex number? How do I find the negative power of a complex number? Write the complex number i^17 in standard form? See all questions in Powers of Complex Numbers Impact of this question 4232 views around the world You can reuse this answer Creative Commons License