SOLUTION: Express in simplest form, in terms of i. 5. √(-243) 6. 2[√(-81)] - 2[√(-100)] 7. (2i - 5)/(i + 1)

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Express in simplest form, in terms of i. 5. √(-243) 6. 2[√(-81)] - 2[√(-100)] 7. (2i - 5)/(i + 1)      Log On


   

Question 1197660: Express in simplest form, in terms of i.
5. √(-243)
6. 2[√(-81)] - 2[√(-100)]
7. (2i - 5)/(i + 1)
Found 2 solutions by ewatrrr, ikleyn:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Checking Your Work 
5. √(-243) =  √(-1)(243) = 15.5885i

6.+2%2Asqrt%28-81%29+-+2sqrt%28-100%29+ = 18i - 20i = -2i

7. NOte:  i = sqrt%28-1%29  ⇒ i^2 = -1


       = +%282i%5E2+-+7i+%2B+5%29%2F%28-2%29+=+-%28%28-2+-+7i+%2B+5%29%2F2%29+=+%28-3+%2B+7i%29%2F2  

Wish You the Best in your Studies.


Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

The correct calculations for #7 are as follows 

7. NOTE:  i = sqrt%28-1%29  ⇒ i^2 = -1



       = +%282i%5E2+-+7i+%2B+5%29%2F%28-2%29+=+-%28%283+-+7i%29%2F2%29+=+%28-3+%2B+7i%29%2F2