joshoyen
  • joshoyen
I'm confused. Find the absolute value of each complex number. 1. |8-8i| 2. |3-6i| 3. |-4+3i|
Algebra
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SOLVED
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schrodinger
  • schrodinger
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rainbow_rocks03
  • rainbow_rocks03
Have you tried asking google your question? :)
joshoyen
  • joshoyen
nah
mathmale
  • mathmale
A complex number has a real part and an imaginary part. The real part lies on the x-axis and the imaginary part on the y-axis. The "absolute value" of a complex number is just the length of the diagonal connecting the right ends of the real and imaginary parts.|dw:1450157058156:dw|

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mathmale
  • mathmale
Applying the Pythagorean Theorem, d^2 = a^2 + b^2. Find the abs. value of |8-8i|: the real part is 8, the imaginary part is 8i. The length of the real part is 8, and the length of the imag. part is also 8. The absolute value of |8, 8i| is the square root of the squares of the lengths of the real and the imaginary parts:\[abs .val=\sqrt{8^2 + 8^2}\]
joshoyen
  • joshoyen
thanks! @mathmale

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