Simplify Square Root of 88533

Here we will show you two methods that you can use to simplify the square root of 88533. In other words, we will show you how to find the square root of 88533 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.

√88533 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 88533 to simplify the square root of 88533. 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 88533. The factors of 88533 are 1, 3, 9, 27, 81, 1093, 3279, 9837, 29511, and 88533. Furthermore, the greatest perfect square on this list is 81 and the square root of 81 is 9. Therefore, A equals 9.

B = Calculate 88533 divided by the greatest perfect square from the list of all factors of 88533. We determined above that the greatest perfect square from the list of all factors of 88533 is 81. Furthermore, 88533 divided by 81 is 1093, therefore B equals 1093.

Now we have A and B and can get our answer to 88533 in its simplest radical form as follows:

√88533 = A√B

√88533 = 9√1093

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 88533 to simplify the square root of 88533 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 88533 and then take the square root of that product. The prime factors that multiply together to make 88533 are 3 x 3 x 3 x 3 x 1093. When we strip out the pairs only, we get 3 x 3 x 3 x 3 = 81 and the square root of 81 is 9. Therefore, A equals 9.

B = Divide 88533 by the number (A) squared. 9 squared is 81 and 88533 divided by 81 is 1093. Therefore, B equals 1093.

Once again we have A and B and can get our answer to 88533 in its simplest radical form as follows:

√88533 = A√B

√88533 = 9√1093

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

Simplify Square Root of 88534
Here is the next square root on our list that we have simplifed for you.