Given the general form of a complex number, a+bi, (1) what is considered the real part of the complex number and (2) what is considered the imaginary part?
Question 2
2.
Given 3+4i, (1) what is the real part and (2) what is the imaginary part of the complex number?
Question 3
3.
Given 5+34i, (1) what is the imaginary part and (2) what is the real part of the complex number?
Question 4
4.
Given 15+i, (1) what is the real part and (2) what is the imaginary part of the complex number?
Question 5
5.
Question 6
6.
Question 7
7.
Question 8
8.
Question 9
9.
Question 10
10.
Explain your process in simplifying the expression in Question 9.
Question 11
11.
Question 12
12.
Explain your process in multiplying and reducing in Question 11.
Question 13
13.
Question 14
14.
Question 15
15.
Question 16
16.
Question 17
17.
Question 18
18.
The conjugate of 4+i is _______.
Question 19
19.
Question 20
20.
Explain what steps you went through in Question 19 to find the modulus.
Question 21
21.
Question 22
22.
Explain how you simplified the expression in Question 21.
i²=
1
-1
i
-i
i³=
1
-1
i
-i
i4=
1
-1
i
-i
i5=
1
-1
i
-i
Simplify 4i2+2i+13.
-4+2i+13
9+2i
17+2i
19i
Multiply (2+3i)(4+6i) and show the product in simpliest form.
18i2+24i+8
8+18i2
-10+24i
6+9i
Multiply the two complex numbers (2-5i2)(7+3i) and show the product in simpliest form.
-11-29i
-5i-2i3
-5i+3i-5i2
14-15i3
The conjugate of 5+8i is 5+8i.
True
False
The conjugate of a complex number involves the same real and imaginary part but changes the sign between them.
True
False
These two complex numbers are conjugates: (3+8i) and (3-8i).
True
False
The conjugate of 1+6i is 6+1i.
True
False
What is the modulus if z= 7+9i. (Reduce to the simplest form)
|z|= 4
|z|= 3+ √7
|z|= √130
|z|= √63
Use what we know about conjugates to simplify the following: (1+4i)/(9-5i)