SOLUTION: Can you please explain the difference between {{{sqrt(3)/sqrt(-5)}}} and sqrt{{{(3/-5)}}} Why are the answers supposed to be different? I got -{{{sqrt(3)}}}/{{{sqrt(5)}}}i for bot

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Can you please explain the difference between {{{sqrt(3)/sqrt(-5)}}} and sqrt{{{(3/-5)}}} Why are the answers supposed to be different? I got -{{{sqrt(3)}}}/{{{sqrt(5)}}}i for bot      Log On


   

Question 987109: Can you please explain the difference between sqrt%283%29%2Fsqrt%28-5%29 and sqrt%283%2F-5%29
Why are the answers supposed to be different? I got -sqrt%283%29/sqrt%285%29i for both.
Thanks!
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%283%29%2Fsqrt%28-5%29%3C%3E3%2F%28-5%29

The left member is a complex number with an imaginary part; the right member is a complex number without any imaginary part. sqrt%28-5%29 is an imaginary number, since sqrt%28-5%29=sqrt%28-1%2A5%29=sqrt%28-1%29sqrt%285%29, and sqrt%28-1%29 is imaginary.