SOLUTION: Please help me simplify and write the result in standard form: {{{ (-12 + sqrt(-45)) / 24 }}}

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Please help me simplify and write the result in standard form: {{{ (-12 + sqrt(-45)) / 24 }}}      Log On


   

Question 1200746: Please help me simplify and write the result in standard form:
+%28-12+%2B+sqrt%28-45%29%29+%2F+24+
Answer by ikleyn(52833) About Me  (Show Source):
You can put this solution on YOUR website!
.

                Trace attentively my steps 


+%28-12+%2B+sqrt%28-45%29%29+%2F+24+ = %28-12+%2B+sqrt%289%2A%28-5%29%29%29%2F24 = %28-12%2B3%2Asqrt%28%28-5%29%29%29%2F24 = %28-4+%2B+i%2Asqrt%285%29%29%2F8,  


where  " i "  is the  " imaginary unit ",  i^2 = -1.

Solved.