All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info
Home > General > Tricks
These tricky problems seem perfectly straightforward. At first.
Let us consider a positive real number A.
For the imaginary number i, we know that: i*i = -1.
Therefore, i*i*i*i = (-1)*(-1)= 1
Hence, A*i*i*i*i = A
or √(A*i*i*i*i) = √A
or, √(A)*(i*i) = √A,
since sqrt(i*i*i*i) = i*i
or, - √(A) = √(A)

Provide a valid reason for this apparent inconsistency.

(No Solution Yet, 1 Comments) Submitted on 2023-06-26 by K Sengupta   
Page 1 of 7   next >>    
Difficulty: 1 of 5Ones and Zero Operation Outcome | Rating: 4.00
Posted on 2023-01-02 by K Sengupta (Solution Posted, 3 Comments)
Difficulty: 1 of 5Two Plus Two Equals Five | Rating: 5.00
Posted on 2022-11-29 by K Sengupta (Solution Posted, 4 Comments)
Difficulty: 2 of 5Seemingly Faulty | Rating: 5.00
Posted on 2022-07-13 by K Sengupta (Solution Posted, 4 Comments)
Difficulty: 2 of 5Clairvoyance | Rating: 5.00
Posted on 2022-07-11 by Ady TZIDON (Solution Posted, 6 Comments)
Difficulty: 3 of 5Reverse engineering | Rating: 3.00
Posted on 2021-01-15 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Elementary nationality | Rating: 5.00
Posted on 2020-07-22 by Math Man (No Solution Yet, 2 Comments)
Difficulty: 1 of 5Four singers |
Posted on 2018-03-26 by Ady TZIDON (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Perform and explain |
Posted on 2017-12-12 by Ady TZIDON (No Solution Yet, 11 Comments)
Difficulty: 1 of 5Online translation |
Posted on 2017-10-30 by Ady TZIDON (No Solution Yet, 1 Comments)
Difficulty: 2 of 5Number prediction |
Posted on 2016-09-26 by Charlie (Solution Posted, 6 Comments)
Difficulty: 1 of 5Biting the Apple |
Posted on 2016-09-21 by Charlie (Solution Posted, 3 Comments)
Difficulty: 3 of 5The triple threat |
Posted on 2016-09-13 by Ady TZIDON (No Solution Yet, 3 Comments)
Difficulty: 2 of 5Finding the hidden digit |
Posted on 2016-09-09 by Ady TZIDON (No Solution Yet, 1 Comments)
Difficulty: 1 of 5Point Ponder | Rating: 5.00
Posted on 2016-06-03 by K Sengupta (Solution Posted, 2 Comments)
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information