What is -square root of -100?

1 Answer
Alan P.
Mar 11, 2018

The square root of #-100# only exists as an imaginary number: #color(red)(+-10i)# where #color(blue)(color(red)i^2=-1)#

Explanation:

...and for those people who believe any reference to square root should imply only the primary square root, then you can drop the minus sign: #color(red)(+10i)#

Related questions
See all questions in Simplification of Radical Expressions
Impact of this question
2226 views around the world
You can reuse this answer
Creative Commons License