# Square Root of Negative 500

√-500 = 22.36067977 i

This tutorial will show you how to calculate the square root of negative 500. We can represent this problem mathematically as √-500

Negative numbers do not have real square roots because the square of a number is always positive regardless of whether it’s positive or negative.

For example, A positive number times a positive number is equal to a positive number

A negative number time a negative number is equal to a positive number.

How to find the square root of negative 500

We have to use an imaginary number because there is no real number that can be squared to produce a negative 500

√-500 = √500 x √-1

First, let’s find the square root of 500 to the nearest four decimal places. There are two ways to find the square root of numbers, i.e., prime factorization and long division. Let’s pick one method to calculate the square root of 500. Let’s use the long division method. According to the image above, the square root of 500 is 22.36067977. The square root of negative 1 is an imaginary number which is represented as i (iota). Therefore the square root of negative 500 is 22.36067977 i

√-500 = 22.36067977 i

Square Root of a negative Calculator

Use the calculator below to calculate the square root of a negative number.

Square Root calculator