Negative Square Roots
If we were to examine the title above we would realize it's inaccurate as there is no such thing as a negative square root among Real Numbers.
How is that possible? The definition of a square root is a number times itself. When you multiply number times itself you will always get a positive result. Example 2 x 2 = 4 and -2 x-2= 4
The square root of a negative number is referred to as an imaginary number as it does not exist as a Real Number. The imaginary number, i, is the square root of -1.
When you square i, you will get -1.
A complex number is formed when you combine imaginary numbers with Real Numbers The form for complex numbers are a+bi.
How to simplify a negative square root?
Simplifying negative radicals is pretty much like simplifying any other radicals just filter out the √-1 and replace it with i.
Let’s give it a go:
-The number 36 is a perfect square and gets broken down to 6x6 so your answer would be
- - is explained as x or simply i
Still need help? Try using our square root calculator as a negative square root calculator to get your answer.