SOLUTION: please help me simplify these expressions using imaginary numbers... 3 to the sqrt of -27 and 4 to the sqrt of -64

Algebra ->  Square-cubic-other-roots -> SOLUTION: please help me simplify these expressions using imaginary numbers... 3 to the sqrt of -27 and 4 to the sqrt of -64      Log On


   

Question 145223: please help me simplify these expressions using imaginary numbers...
3 to the sqrt of -27 and 4 to the sqrt of -64
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%2Asqrt%28-27%29 Start with the given expression


3%2A3%2Ai%2Asqrt%283%29 Simplify sqrt%28-27%29 to get 3%2Ai%2Asqrt%283%29


9%2Ai%2Asqrt%283%29 Multiply.


So 3%2Asqrt%28-27%29 simplifies to 9%2Ai%2Asqrt%283%29





4%2Asqrt%28-64%29 Start with the given expression


4%2A8%2Ai Simplify sqrt%28-64%29 to get 8%2Ai


32%2Ai Multiply.


So 4%2Asqrt%28-64%29 simplifies to 32%2Ai