Plot the complex number and find its absolute value.
-5 + 10i

A) |-5 + 10i| =
B) |-5 + 10i| =
C) |-5 + 10i| =
D) |-5 + 10i| =
E) |-5 + 10i| =

Question

Plot the complex number and find its absolute value. ​
-5 + 10i
​
A)​ ​ |-5 + 10i| = 
B)​ ​ |-5 + 10i| = 
C)​ ​ |-5 + 10i| = 
D)​ ​ |-5 + 10i| = 
E)​ ​ |-5 + 10i| =

Quizplus · Accepted Answer

The absolute value of a complex number is given by the distance of the number from the origin, which can be found using the Pythagorean theorem. In this case, |-5 + 10i| = sqrt((-5)^2 + 10^2) = sqrt(125) = 5sqrt(5). Therefore, the correct answer is C, since its absolute value matches this result.

Plot the Complex Number and Find Its Absolute Value