Respuesta :
Question is incomplete, complete question is given below;
For i = √−1 , what is the sum (7 + 3i) + (−8 + 9i ) ? √ is the square root symbol.
Answer:
A) −1 + 12i
Step-by-step explanation:
Given,
[tex]i = \sqrt{-1 }[/tex]
We have to find the sum of[tex](7+3i)+(-8+9i)[/tex].
Solution,
Firstly we Substitute the the value of 'i' in given expression.
[tex](7 + 3\sqrt{-1}) + (-8 + 9\sqrt{-1} )[/tex]
On combining the like terms, we get;
[tex]7+(-8)+3\sqrt{-1}+9\sqrt{-1}[/tex]
On we use the addition property of equality and get;
[tex]-1+12\sqrt{-1}[/tex]
Since [tex]\sqrt{-1}[/tex] = i
Then we can say that;
[tex]-1+12\sqrt{-1}[/tex] = [tex]-1+12i[/tex]
Hence The sum of [tex](7+3i)+(-8+9i)[/tex] is [tex]-1+12i[/tex].
