Simplify Square Root of 14908

Here we will show you two methods that you can use to simplify the square root of 14908. In other words, we will show you how to find the square root of 14908 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.

√14908 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 14908 to simplify the square root of 14908. 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 14908. The factors of 14908 are 1, 2, 4, 3727, 7454, and 14908. Furthermore, the greatest perfect square on this list is 4 and the square root of 4 is 2. Therefore, A equals 2.

B = Calculate 14908 divided by the greatest perfect square from the list of all factors of 14908. We determined above that the greatest perfect square from the list of all factors of 14908 is 4. Furthermore, 14908 divided by 4 is 3727, therefore B equals 3727.

Now we have A and B and can get our answer to 14908 in its simplest radical form as follows:

√14908 = A√B

√14908 = 2√3727

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 14908 to simplify the square root of 14908 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 14908 and then take the square root of that product. The prime factors that multiply together to make 14908 are 2 x 2 x 3727. When we strip out the pairs only, we get 2 x 2 = 4 and the square root of 4 is 2. Therefore, A equals 2.

B = Divide 14908 by the number (A) squared. 2 squared is 4 and 14908 divided by 4 is 3727. Therefore, B equals 3727.

Once again we have A and B and can get our answer to 14908 in its simplest radical form as follows:

√14908 = A√B

√14908 = 2√3727

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

Simplify Square Root of 14909
Here is the next square root on our list that we have simplifed for you.