Simplify Square Root of 35991

Here we will show you two methods that you can use to simplify the square root of 35991. In other words, we will show you how to find the square root of 35991 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.

√35991 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 35991 to simplify the square root of 35991. 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 35991. The factors of 35991 are 1, 3, 9, 27, 31, 43, 93, 129, 279, 387, 837, 1161, 1333, 3999, 11997, and 35991. Furthermore, the greatest perfect square on this list is 9 and the square root of 9 is 3. Therefore, A equals 3.

B = Calculate 35991 divided by the greatest perfect square from the list of all factors of 35991. We determined above that the greatest perfect square from the list of all factors of 35991 is 9. Furthermore, 35991 divided by 9 is 3999, therefore B equals 3999.

Now we have A and B and can get our answer to 35991 in its simplest radical form as follows:

√35991 = A√B

√35991 = 3√3999

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 35991 to simplify the square root of 35991 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 35991 and then take the square root of that product. The prime factors that multiply together to make 35991 are 3 x 3 x 3 x 31 x 43. When we strip out the pairs only, we get 3 x 3 = 9 and the square root of 9 is 3. Therefore, A equals 3.

B = Divide 35991 by the number (A) squared. 3 squared is 9 and 35991 divided by 9 is 3999. Therefore, B equals 3999.

Once again we have A and B and can get our answer to 35991 in its simplest radical form as follows:

√35991 = A√B

√35991 = 3√3999

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

Simplify Square Root of 35992
Here is the next square root on our list that we have simplifed for you.