How do you find the absolute value of 1 plus or minus i. The answer is 1.41

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- Sep 18th 2011, 08:16 AMbenny92000Finding absolute value of imaginary number
How do you find the absolute value of 1 plus or minus i. The answer is 1.41

- Sep 18th 2011, 08:20 AMPlatoRe: Finding absolute value of imaginary number
- Sep 18th 2011, 08:20 AMProve ItRe: Finding absolute value of imaginary number
If you were to plot the point $\displaystyle \displaystyle 1 + i$ and draw the length from the origin to that point on an Argand diagram, you'll see that from the origin, you have travelled one unit right and one unit up. So really, a right-angle triangle has been created, with the two shorter sides = 1 unit in length. How would you find the length of the hypotenuse (in other words, $\displaystyle \displaystyle |1 + i|$)?