Simplify Square Root of 63632

Here we will show you two methods that you can use to simplify the square root of 63632. In other words, we will show you how to find the square root of 63632 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.

√63632 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 63632 to simplify the square root of 63632. 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 63632. The factors of 63632 are 1, 2, 4, 8, 16, 41, 82, 97, 164, 194, 328, 388, 656, 776, 1552, 3977, 7954, 15908, 31816, and 63632. Furthermore, the greatest perfect square on this list is 16 and the square root of 16 is 4. Therefore, A equals 4.

B = Calculate 63632 divided by the greatest perfect square from the list of all factors of 63632. We determined above that the greatest perfect square from the list of all factors of 63632 is 16. Furthermore, 63632 divided by 16 is 3977, therefore B equals 3977.

Now we have A and B and can get our answer to 63632 in its simplest radical form as follows:

√63632 = A√B

√63632 = 4√3977

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 63632 to simplify the square root of 63632 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 63632 and then take the square root of that product. The prime factors that multiply together to make 63632 are 2 x 2 x 2 x 2 x 41 x 97. 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 63632 by the number (A) squared. 4 squared is 16 and 63632 divided by 16 is 3977. Therefore, B equals 3977.

Once again we have A and B and can get our answer to 63632 in its simplest radical form as follows:

√63632 = A√B

√63632 = 4√3977

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

Simplify Square Root of 63633
Here is the next square root on our list that we have simplifed for you.