Question

which properties are used to add these complex numbers? choose all that apply. (5+2i)+(6+7i)=(5+6)+(2i+7i)=11+9i
A. distributive property
B. associative property
C. commutative property
D. none of the above

Answer 1

B. associative property

C. commutative property

Explanation:

A complex number is defined by the form:

$a+bi \\ \\ Where: \\ \\ a,b \ are \ constant \ numbers \\ \\ i \ is \ the \ imaginary \ number$

Here we use:

B. associative property

C. commutative property

Let's rewrite our expressions as:

Step 1.

$(5+2i)+(6+7i)$

Step 2.

$(5+6)+(2i+7i)$

Step 3.

$11+9i$

So in step 2 we apply those properties because we make the commutation of 6 and 2i and perform the association using parentheses.

Answer 2

Answer:b & c

Step-by-step explanation: