Question

Which expression represents the number 3+−4−−−√ rewritten in a+bi form?

3+4i

0+5i

3i+2

3+2i

−4i+3

Answer 1

Question:

Which expression represents the number
`3 + √(-4)` rewritten in a+bi form?

Answer:

3 + 2i

Explanation:

Let y =
`3 + √(-4)` ...............(1)

`y = 3 + (√(4)) (√(-1) )\\`.............(2)

The complex number representation of
`√(-1) = i` and
`√(4) = 2`

Make these substitutions into equation ( 2)

`y = 3 +2i\\` is in the form a + bi

Where a = 3 and b = 2