How do you find the absolute value of 3+4i?

1 Answer
Oct 31, 2016

|a + bi||a+bi| is not read as the absolute value of a + bia+bi; it is read as the magnitude of a + bia+bi:

|3 + 4i| = sqrt(3^2 + 4^2)|3+4i|=32+42 = 5

Explanation:

The |a + bi| is not read as the absolute value of a + bi; it is read as the magnitude of a + bi. The magnitude is calculated, using the equation:

|a + bi| = sqrt(a^2 + b^2)|a+bi|=a2+b2

|3 + 4i| = sqrt(3^2 + 4^2)|3+4i|=32+42 = 5