In this scenario, we have the complex number:
1 + i
The corresponding pair is represented as:
root (2) * (cos (pi / 4) + i * sin (pi / 4))
By rewriting this, we have:
root (2) * (root (2) / 2 + i * (root (2) / 2))
(2/2 + i * (2/2))
(1 + i)
Answer:
option A shows a pair representing the same complex number
Answer:
b = 5√3
b = -5√3
Step-by-step explanation:
We have

Keep in mind, the root of a function corresponds to the value of x at which the function's output is zero.
In this case
The roots of the equation are the b values for which f(b) equals zero.
Thus
For f(b)=0


Take the square root of both sides

Now simplify

and 
So we find that
b = 5√3
b = -5√3