Simplify Square Root of 11600

Here we will show you two methods that you can use to simplify the square root of 11600. In other words, we will show you how to find the square root of 11600 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.

√11600 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 11600 to simplify the square root of 11600. 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 11600. The factors of 11600 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 29, 40, 50, 58, 80, 100, 116, 145, 200, 232, 290, 400, 464, 580, 725, 1160, 1450, 2320, 2900, 5800, and 11600. Furthermore, the greatest perfect square on this list is 400 and the square root of 400 is 20. Therefore, A equals 20.

B = Calculate 11600 divided by the greatest perfect square from the list of all factors of 11600. We determined above that the greatest perfect square from the list of all factors of 11600 is 400. Furthermore, 11600 divided by 400 is 29, therefore B equals 29.

Now we have A and B and can get our answer to 11600 in its simplest radical form as follows:

√11600 = A√B

√11600 = 20√29

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 11600 to simplify the square root of 11600 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 11600 and then take the square root of that product. The prime factors that multiply together to make 11600 are 2 x 2 x 2 x 2 x 5 x 5 x 29. When we strip out the pairs only, we get 2 x 2 x 2 x 2 x 5 x 5 = 400 and the square root of 400 is 20. Therefore, A equals 20.

B = Divide 11600 by the number (A) squared. 20 squared is 400 and 11600 divided by 400 is 29. Therefore, B equals 29.

Once again we have A and B and can get our answer to 11600 in its simplest radical form as follows:

√11600 = A√B

√11600 = 20√29

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

Simplify Square Root of 11601
Here is the next square root on our list that we have simplifed for you.