Simplify Square Root of 35088

Here we will show you two methods that you can use to simplify the square root of 35088. In other words, we will show you how to find the square root of 35088 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.

√35088 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 35088 to simplify the square root of 35088. 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 35088. The factors of 35088 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 43, 48, 51, 68, 86, 102, 129, 136, 172, 204, 258, 272, 344, 408, 516, 688, 731, 816, 1032, 1462, 2064, 2193, 2924, 4386, 5848, 8772, 11696, 17544, and 35088. Furthermore, the greatest perfect square on this list is 16 and the square root of 16 is 4. Therefore, A equals 4.

B = Calculate 35088 divided by the greatest perfect square from the list of all factors of 35088. We determined above that the greatest perfect square from the list of all factors of 35088 is 16. Furthermore, 35088 divided by 16 is 2193, therefore B equals 2193.

Now we have A and B and can get our answer to 35088 in its simplest radical form as follows:

√35088 = A√B

√35088 = 4√2193

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 35088 to simplify the square root of 35088 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 35088 and then take the square root of that product. The prime factors that multiply together to make 35088 are 2 x 2 x 2 x 2 x 3 x 17 x 43. When we strip out the pairs only, we get 2 x 2 x 2 x 2 = 16 and the square root of 16 is 4. Therefore, A equals 4.

B = Divide 35088 by the number (A) squared. 4 squared is 16 and 35088 divided by 16 is 2193. Therefore, B equals 2193.

Once again we have A and B and can get our answer to 35088 in its simplest radical form as follows:

√35088 = A√B

√35088 = 4√2193

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

Simplify Square Root of 35089
Here is the next square root on our list that we have simplifed for you.