Simplify Square Root of 28594

Here we will show you two methods that you can use to simplify the square root of 28594. In other words, we will show you how to find the square root of 28594 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.

√28594 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 28594 to simplify the square root of 28594. 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 28594. The factors of 28594 are 1, 2, 17, 29, 34, 58, 493, 841, 986, 1682, 14297, and 28594. Furthermore, the greatest perfect square on this list is 841 and the square root of 841 is 29. Therefore, A equals 29.

B = Calculate 28594 divided by the greatest perfect square from the list of all factors of 28594. We determined above that the greatest perfect square from the list of all factors of 28594 is 841. Furthermore, 28594 divided by 841 is 34, therefore B equals 34.

Now we have A and B and can get our answer to 28594 in its simplest radical form as follows:

√28594 = A√B

√28594 = 29√34

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 28594 to simplify the square root of 28594 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 28594 and then take the square root of that product. The prime factors that multiply together to make 28594 are 2 x 17 x 29 x 29. When we strip out the pairs only, we get 29 x 29 = 841 and the square root of 841 is 29. Therefore, A equals 29.

B = Divide 28594 by the number (A) squared. 29 squared is 841 and 28594 divided by 841 is 34. Therefore, B equals 34.

Once again we have A and B and can get our answer to 28594 in its simplest radical form as follows:

√28594 = A√B

√28594 = 29√34

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

Simplify Square Root of 28595
Here is the next square root on our list that we have simplifed for you.