SOLUTION: Find the absolute value of the complex number. |-10-5i| <---how do i do this?!

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Question 526946: Find the absolute value of the complex number.
|-10-5i| <---how do i do this?!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since -10-5i is in standard form a%2Bbi, we can see that a=-10 and b=-5


abs%28a%2Bbi%29=sqrt%28a%5E2%2Bb%5E2%29 Start with the absolute value of a complex number formula.


abs%28-10-5i%29=sqrt%28%28-10%29%5E2%2B%28-5%29%5E2%29 Plug in a=-10 and b=-5.


abs%28-10-5i%29=sqrt%28100%2B%28-5%29%5E2%29 Square -10 to get 100.


abs%28-10-5i%29=sqrt%28100%2B25%29 Square -5 to get 25.


abs%28-10-5i%29=sqrt%28125%29 Add.


abs%28-10-5i%29=5%2Asqrt%285%29 Simplify the square root.


So the answer is abs%28-10-5i%29=5%2Asqrt%285%29


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