Simplify Square Root of 97040

Here we will show you two methods that you can use to simplify the square root of 97040. In other words, we will show you how to find the square root of 97040 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.

√97040 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 97040 to simplify the square root of 97040. 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 97040. The factors of 97040 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1213, 2426, 4852, 6065, 9704, 12130, 19408, 24260, 48520, and 97040. Furthermore, the greatest perfect square on this list is 16 and the square root of 16 is 4. Therefore, A equals 4.

B = Calculate 97040 divided by the greatest perfect square from the list of all factors of 97040. We determined above that the greatest perfect square from the list of all factors of 97040 is 16. Furthermore, 97040 divided by 16 is 6065, therefore B equals 6065.

Now we have A and B and can get our answer to 97040 in its simplest radical form as follows:

√97040 = A√B

√97040 = 4√6065

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 97040 to simplify the square root of 97040 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 97040 and then take the square root of that product. The prime factors that multiply together to make 97040 are 2 x 2 x 2 x 2 x 5 x 1213. 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 97040 by the number (A) squared. 4 squared is 16 and 97040 divided by 16 is 6065. Therefore, B equals 6065.

Once again we have A and B and can get our answer to 97040 in its simplest radical form as follows:

√97040 = A√B

√97040 = 4√6065

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

Simplify Square Root of 97041
Here is the next square root on our list that we have simplifed for you.