How To Find The Square Root Of A Negative Number

There are 2 possible roots for any positive real number.

How to find the square root of a negative number. Square roots is a specialized form of our common roots calculator. For example use the square root calculator below to find the square root of 5. Yes you can square a negative number. For example 2 squared is 2 2 4.

In fact any number at all can be squared even numbers like pi and 0. It is not always possible to get the square root as an integer. Simplifying the square root of a negative number is very similar to simplifying the square root of a positive number. The result includes lots of numbers after the decimal point.

The principal square root of negative 1 is i. The negative square roots are imaginary numbers that is denoted by i at the end of the output. Given a number x the square root of x is a number a such that a 2 x. I times the square root of 4 or the principal square root of 4 times the principal square root of 13.

You just need to remember i in your answer. Square roots should always be positive when dealing with real numbers that means you should not have a negative inside the square root. If you have a negative outside the square root then you have 16 4 but if you have a negative inside the square root you will get an imaginary number 16 4i an imaginary number watch this article as a video at wwwi hate mathcom. The other square root of negative 1 is negative i.

And this is going to be equal to i times the square root of 4. We know the square root of 18 is 424. This is because to square a number just means to multiply it by itself. That is when we calculate the square root of a negative number we factor 1 and then do the square root operation in a normal way.

But the principal square root of negative 1 is i. For the numbers above the square root was equal to an integer. Sometimes you may get a real number when finding the square root.