Alerts Wishlist Cart

What is the value of (1 + i)²?

Practice Questions

Q1
What is the value of (1 + i)²?
  1. 2i
  2. 2
  3. 0
  4. 1 + 2i

Questions & Step-by-Step Solutions

What is the value of (1 + i)²?
  • Step 1: Start with the expression (1 + i)².
  • Step 2: Use the formula for squaring a binomial: (a + b)² = a² + 2ab + b².
  • Step 3: Identify a and b in our case: a = 1 and b = i.
  • Step 4: Calculate a²: 1² = 1.
  • Step 5: Calculate 2ab: 2(1)(i) = 2i.
  • Step 6: Calculate b²: i². Remember that i is the imaginary unit, and i² = -1.
  • Step 7: Combine all parts: 1 + 2i + (-1).
  • Step 8: Simplify: 1 - 1 + 2i = 0 + 2i.
  • Step 9: Final result: (1 + i)² = 2i.
No concepts available.
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely