+0  
 
+1
159
1
avatar

What is the square root of -1 and why?

Guest Jun 11, 2017
Sort: 

1+0 Answers

 #1
avatar+91247 
+2

The square root of -1 does not have a 'real'  value because 

 

if a negative number is squared then the answer is positive and 

if a positive number is squared the answer is positive too

 

SO no number squared equals a negative number!

 

There is another number system which include numbers that are not real.  It is called  'The complex number system.' 

It has imaginary numbers and sqrt(-1) is the base unit for the whole set of imaginary numbers.

In hre complex number system i is usually assigned the value of  sqrt(-1), although very occasionally j is used instead.

 

So

\(i=\sqrt{-1}\)

 

 

I hope that helps :)

Melody  Jun 12, 2017

9 Online Users

avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details