perplexus.info :: Numbers : Surprising answer III

Home > Numbers

Surprising answer III (Posted on 2023-06-04)

Evaluate:

sqrt(i)+sqrt(-i).

o There are at least 3 distinct methods

No Solution Yet Submitted by Ady TZIDON

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

One method

| Comment 1 of 6

Squaring the expression gives:

(sqrt(i))^2 + (sqrt(-i))^2 + 2sqrt(-i*i) =

i - i +2*sqrt(1) = 2

So the expression = sqrt(2) or -sqrt(2)

Posted by Steve Herman on 2023-06-04 07:07:12

Please log in:

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

Chatterbox:


perplexus dot info