A. 3-sqrt(-16) B. -4 C. -2i+i^2 D. (sqrt(-43)^2 E. 3i^2-5i^3

Question

The directions say to simplify and write in standard form a+bi.

Answer 1

A. The sqrt of -1 is i therefore:

 

3-√16 x √-1 simplified to a+bi form is:

 

3-4i

 

B. Not asked to do anything here but if you take the sqrt of -4 = √4 x √-1 = 2i

 

C.-2i+i²  i²=-1

 

-1-2i

 

D. √-43² = √43² x √-1= 43i

 

E. 3i²-5i^{3 =} 3(-1)-5(-1)(i) = -3+5i