Simplify Square Root of 81133

Here we will show you two methods that you can use to simplify the square root of 81133. In other words, we will show you how to find the square root of 81133 in its simplest radical form using two different methods.

To be more specific, we have created an illustration below showing what we want to calculate. Our goal is to make "A" outside the radical (√) as large as possible, and "B" inside the radical (√) as small as possible.

√81133 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 81133 to simplify the square root of 81133. This is how to calculate A and B using this method:

A = Calculate the square root of the greatest perfect square from the list of all factors of 81133. The factors of 81133 are 1, 13, 79, 1027, 6241, and 81133. Furthermore, the greatest perfect square on this list is 6241 and the square root of 6241 is 79. Therefore, A equals 79.

B = Calculate 81133 divided by the greatest perfect square from the list of all factors of 81133. We determined above that the greatest perfect square from the list of all factors of 81133 is 6241. Furthermore, 81133 divided by 6241 is 13, therefore B equals 13.

Now we have A and B and can get our answer to 81133 in its simplest radical form as follows:

√81133 = A√B

√81133 = 79√13

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 81133 to simplify the square root of 81133 to its simplest form possible. This is how to calculate A and B using this method:

A = Multiply all the double prime factors (pairs) of 81133 and then take the square root of that product. The prime factors that multiply together to make 81133 are 13 x 79 x 79. When we strip out the pairs only, we get 79 x 79 = 6241 and the square root of 6241 is 79. Therefore, A equals 79.

B = Divide 81133 by the number (A) squared. 79 squared is 6241 and 81133 divided by 6241 is 13. Therefore, B equals 13.

Once again we have A and B and can get our answer to 81133 in its simplest radical form as follows:

√81133 = A√B

√81133 = 79√13

Simplify Square Root
Please enter another square root in the box below for us to simplify.

Simplify Square Root of 81134
Here is the next square root on our list that we have simplifed for you.