Question

Which expression represents the number

Answer 1

8 + i

Explanation:

What you need to simplify this is the following "definitions" of i to different powers.

`i^1=i`

`i^2=-1`

`i^3=i^2*i=-1*i=-i`

`i^4=1`

Now we can sub these in for the various powers of i in our expression:

`6(1)+6(-i)-2(-1)+√(-1*49)`

Simplifying a bit:

`6-6i+2+√(i^2*49)`

Since we know that the square root of i-squared is i, and that the square root of 49 is 7, we can get rid of the radial sign as follows:

6 - 6i + 2 + 7i

And the final answer, in a + bi form, is

8 + i