SOLUTION: Would the square root of -25 be +/- 5i or just 5i? And why?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Would the square root of -25 be +/- 5i or just 5i? And why?      Log On


   

Question 781065: Would the square root of -25 be +/- 5i or just 5i? And why?
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
i = square root of -1
square root of -25 = square root of (25)* square root (-1), then we have
5i
note that 5 is the principal square root of 25 which is what is implied when we write square root(25)