SOLUTION: what is the absolute value of 4+7i

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Question 448581: what is the absolute value of 4+7i
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

abs%28a%2Bbi%29=sqrt%28a%5E2%2Bb%5E2%29 Start with the absolute value of a complex number formula. This is also known as the magnitude of a complex number formula.


abs%284%2B7i%29=sqrt%28%284%29%5E2%2B%287%29%5E2%29 Plug in a=4 and b=7.


abs%284%2B7i%29=sqrt%2816%2B%287%29%5E2%29 Square 4 to get 16


abs%284%2B7i%29=sqrt%2816%2B49%29 Square 7 to get 49


abs%284%2B7i%29=sqrt%2865%29 Add


abs%284%2B7i%29=8.06225774829855 Take the square root (this figure is most likely approximate)


So the solution is approximately abs%284%2B7i%29=8.06225774829855