Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

what is the sum of the complex numbers 6+2i and 3+5i, where i=sqrt(-1)

Sagot :

xero099

Answer:

The sum of the complex numbers is [tex]9+i\,7[/tex].

Explanation:

Let be [tex]u = 6 + i\,2[/tex] and [tex]v = 3 + i\,5[/tex], the sum of the complex number can be found by algebraic means. That is:

1) [tex]u = 6 + i\,2[/tex], [tex]v = 3 + i\,5[/tex] Given.

2) [tex]u+v = (6+i\,2)+(3+i\,5)[/tex] Definition of addition.

3) [tex]u+v = (6+3) + (2\,i + 5\,i)[/tex] Commutative and associative properties.

4) [tex]u+v = 9 + (2+5)\,i[/tex] Definition of addition/Distributive property.

5) [tex]u + v = 9 + i\,7[/tex] Definition of addition/Commutative property/Result.

The sum of the complex numbers is [tex]9+i\,7[/tex].

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.