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Math Help - Finding absolute value of imaginary number

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    Finding absolute value of imaginary number

    How do you find the absolute value of 1 plus or minus i. The answer is 1.41
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    Re: Finding absolute value of imaginary number

    Quote Originally Posted by benny92000 View Post
    How do you find the absolute value of 1 plus or minus i. The answer is 1.41
    |a+bi|=\sqrt{a^2+b^2}

    so |\pm a\pm bi|=\sqrt{[\pm a]^2+[\pm b]^2}=\sqrt{a^2+b^2}
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    Re: Finding absolute value of imaginary number

    Quote Originally Posted by benny92000 View Post
    How do you find the absolute value of 1 plus or minus i. The answer is 1.41
    If you were to plot the point \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 |1 + i|)?
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