Simplify Square Root of 97596

Here we will show you two methods that you can use to simplify the square root of 97596. In other words, we will show you how to find the square root of 97596 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.

√97596 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 97596 to simplify the square root of 97596. 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 97596. The factors of 97596 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 2711, 5422, 8133, 10844, 16266, 24399, 32532, 48798, and 97596. Furthermore, the greatest perfect square on this list is 36 and the square root of 36 is 6. Therefore, A equals 6.

B = Calculate 97596 divided by the greatest perfect square from the list of all factors of 97596. We determined above that the greatest perfect square from the list of all factors of 97596 is 36. Furthermore, 97596 divided by 36 is 2711, therefore B equals 2711.

Now we have A and B and can get our answer to 97596 in its simplest radical form as follows:

√97596 = A√B

√97596 = 6√2711

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 97596 to simplify the square root of 97596 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 97596 and then take the square root of that product. The prime factors that multiply together to make 97596 are 2 x 2 x 3 x 3 x 2711. When we strip out the pairs only, we get 2 x 2 x 3 x 3 = 36 and the square root of 36 is 6. Therefore, A equals 6.

B = Divide 97596 by the number (A) squared. 6 squared is 36 and 97596 divided by 36 is 2711. Therefore, B equals 2711.

Once again we have A and B and can get our answer to 97596 in its simplest radical form as follows:

√97596 = A√B

√97596 = 6√2711

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

Simplify Square Root of 97597
Here is the next square root on our list that we have simplifed for you.