Simplify Square Root of 63680

Here we will show you two methods that you can use to simplify the square root of 63680. In other words, we will show you how to find the square root of 63680 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.

√63680 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 63680 to simplify the square root of 63680. 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 63680. The factors of 63680 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 199, 320, 398, 796, 995, 1592, 1990, 3184, 3980, 6368, 7960, 12736, 15920, 31840, and 63680. Furthermore, the greatest perfect square on this list is 64 and the square root of 64 is 8. Therefore, A equals 8.

B = Calculate 63680 divided by the greatest perfect square from the list of all factors of 63680. We determined above that the greatest perfect square from the list of all factors of 63680 is 64. Furthermore, 63680 divided by 64 is 995, therefore B equals 995.

Now we have A and B and can get our answer to 63680 in its simplest radical form as follows:

√63680 = A√B

√63680 = 8√995

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 63680 to simplify the square root of 63680 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 63680 and then take the square root of that product. The prime factors that multiply together to make 63680 are 2 x 2 x 2 x 2 x 2 x 2 x 5 x 199. When we strip out the pairs only, we get 2 x 2 x 2 x 2 x 2 x 2 = 64 and the square root of 64 is 8. Therefore, A equals 8.

B = Divide 63680 by the number (A) squared. 8 squared is 64 and 63680 divided by 64 is 995. Therefore, B equals 995.

Once again we have A and B and can get our answer to 63680 in its simplest radical form as follows:

√63680 = A√B

√63680 = 8√995

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

Simplify Square Root of 63681
Here is the next square root on our list that we have simplifed for you.