Square Root Tools

Need Worksheets?
We offer free worksheets for square root decimal, fractions and more
See List of Perfect Squares
A perfect square is a number made by squaring a whole number
Try our Online Square Root Calculator
Try our easy to use and fun calculator

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.

imaginary number i

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:

example: square root of 15



-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.