Simplify Square Root of 63948

Here we will show you two methods that you can use to simplify the square root of 63948. In other words, we will show you how to find the square root of 63948 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.

√63948 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 63948 to simplify the square root of 63948. 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 63948. The factors of 63948 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876, 5329, 10658, 15987, 21316, 31974, and 63948. Furthermore, the greatest perfect square on this list is 21316 and the square root of 21316 is 146. Therefore, A equals 146.

B = Calculate 63948 divided by the greatest perfect square from the list of all factors of 63948. We determined above that the greatest perfect square from the list of all factors of 63948 is 21316. Furthermore, 63948 divided by 21316 is 3, therefore B equals 3.

Now we have A and B and can get our answer to 63948 in its simplest radical form as follows:

√63948 = A√B

√63948 = 146√3

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 63948 to simplify the square root of 63948 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 63948 and then take the square root of that product. The prime factors that multiply together to make 63948 are 2 x 2 x 3 x 73 x 73. When we strip out the pairs only, we get 2 x 2 x 73 x 73 = 21316 and the square root of 21316 is 146. Therefore, A equals 146.

B = Divide 63948 by the number (A) squared. 146 squared is 21316 and 63948 divided by 21316 is 3. Therefore, B equals 3.

Once again we have A and B and can get our answer to 63948 in its simplest radical form as follows:

√63948 = A√B

√63948 = 146√3

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

Simplify Square Root of 63949
Here is the next square root on our list that we have simplifed for you.