Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
eBooks
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
If z1 = 2 + 2i and z2 = 2 - 2i, what is the value of z1 * z2? (2019)
If z1 = 2 + 2i and z2 = 2 - 2i, what is the value of z1 * z2? (2019)
Expand All
Collapse All
Practice Questions
1 question
Q1
If z1 = 2 + 2i and z2 = 2 - 2i, what is the value of z1 * z2? (2019)
8
0
4
4 + 0i
Show Solution
Copy
z1 * z2 = (2 + 2i)(2 - 2i) = 4 - 4i^2 = 4 + 4 = 8.
Questions & Step-by-step Solutions
1 item
Q
Q: If z1 = 2 + 2i and z2 = 2 - 2i, what is the value of z1 * z2? (2019)
Solution:
z1 * z2 = (2 + 2i)(2 - 2i) = 4 - 4i^2 = 4 + 4 = 8.
Steps: 10
Show Steps
Step 1: Identify the complex numbers. Here, z1 = 2 + 2i and z2 = 2 - 2i.
Step 2: Write down the multiplication of the two complex numbers: z1 * z2 = (2 + 2i)(2 - 2i).
Step 3: Use the formula for multiplying two binomials: (a + b)(c - d) = ac - ad + bc - bd.
Step 4: Apply the formula: (2)(2) + (2)(-2i) + (2i)(2) + (2i)(-2i).
Step 5: Calculate each part: 2 * 2 = 4, 2 * -2i = -4i, 2i * 2 = 4i, 2i * -2i = -4i^2.
Step 6: Combine the results: 4 - 4i + 4i - 4i^2.
Step 7: Notice that -4i and +4i cancel each other out: 4 - 4i + 4i = 4.
Step 8: Remember that i^2 = -1, so -4i^2 becomes +4: -4i^2 = 4.
Step 9: Add the results together: 4 + 4 = 8.
Step 10: Conclude that the value of z1 * z2 is 8.
Related Questions
I
If the roots of the equation x^2 + 2x + k = 0 are -1 and -3, what is the value o
Question: If the roots of the equation x^2 + 2x + k = 0 are -1 and -3, what is the value of k? (2022..
I
If the quadratic equation x^2 + px + q = 0 has roots 3 and 4, what is the value
Question: If the quadratic equation x^2 + px + q = 0 has roots 3 and 4, what is the value of p + q? ..
I
If the sum of the roots of the equation x^2 + px + q = 0 is 5 and the product is
Question: If the sum of the roots of the equation x^2 + px + q = 0 is 5 and the product is 6, what a..
W
What is the value of x in the equation 4x - 7 = 9? (2022)
Question: What is the value of x in the equation 4x - 7 = 9? (2022)Options: 4563Correct Answer: 4Exa..
I
If the perimeter of a rectangle is 50 cm and the length is 15 cm, what is the wi
Question: If the perimeter of a rectangle is 50 cm and the length is 15 cm, what is the width? (2020..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
eBooks
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
