Simplify Square Root of 28830

Here we will show you two methods that you can use to simplify the square root of 28830. In other words, we will show you how to find the square root of 28830 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.

√28830 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 28830 to simplify the square root of 28830. 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 28830. The factors of 28830 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930, 961, 1922, 2883, 4805, 5766, 9610, 14415, and 28830. Furthermore, the greatest perfect square on this list is 961 and the square root of 961 is 31. Therefore, A equals 31.

B = Calculate 28830 divided by the greatest perfect square from the list of all factors of 28830. We determined above that the greatest perfect square from the list of all factors of 28830 is 961. Furthermore, 28830 divided by 961 is 30, therefore B equals 30.

Now we have A and B and can get our answer to 28830 in its simplest radical form as follows:

√28830 = A√B

√28830 = 31√30

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 28830 to simplify the square root of 28830 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 28830 and then take the square root of that product. The prime factors that multiply together to make 28830 are 2 x 3 x 5 x 31 x 31. When we strip out the pairs only, we get 31 x 31 = 961 and the square root of 961 is 31. Therefore, A equals 31.

B = Divide 28830 by the number (A) squared. 31 squared is 961 and 28830 divided by 961 is 30. Therefore, B equals 30.

Once again we have A and B and can get our answer to 28830 in its simplest radical form as follows:

√28830 = A√B

√28830 = 31√30

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

Simplify Square Root of 28831
Here is the next square root on our list that we have simplifed for you.