Question:
Which expression represents the number [tex]3 + \sqrt{-4}[/tex] rewritten in a+bi form?
Answer:
3 + 2i
Step-by-step explanation:
Let y = [tex]3 + \sqrt{-4}[/tex] ...............(1)
[tex]y = 3 + (\sqrt{4}) (\sqrt{-1} )\\[/tex].............(2)
The complex number representation of [tex]\sqrt{-1} = i[/tex] and [tex]\sqrt{4} = 2[/tex]
Make these substitutions into equation ( 2)
[tex]y = 3 +2i\\[/tex] is in the form a + bi
Where a = 3 and b = 2
