Simplify Square Root of 41520

Here we will show you two methods that you can use to simplify the square root of 41520. In other words, we will show you how to find the square root of 41520 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.

√41520 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 41520 to simplify the square root of 41520. 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 41520. The factors of 41520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 173, 240, 346, 519, 692, 865, 1038, 1384, 1730, 2076, 2595, 2768, 3460, 4152, 5190, 6920, 8304, 10380, 13840, 20760, and 41520. Furthermore, the greatest perfect square on this list is 16 and the square root of 16 is 4. Therefore, A equals 4.

B = Calculate 41520 divided by the greatest perfect square from the list of all factors of 41520. We determined above that the greatest perfect square from the list of all factors of 41520 is 16. Furthermore, 41520 divided by 16 is 2595, therefore B equals 2595.

Now we have A and B and can get our answer to 41520 in its simplest radical form as follows:

√41520 = A√B

√41520 = 4√2595

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 41520 to simplify the square root of 41520 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 41520 and then take the square root of that product. The prime factors that multiply together to make 41520 are 2 x 2 x 2 x 2 x 3 x 5 x 173. 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 41520 by the number (A) squared. 4 squared is 16 and 41520 divided by 16 is 2595. Therefore, B equals 2595.

Once again we have A and B and can get our answer to 41520 in its simplest radical form as follows:

√41520 = A√B

√41520 = 4√2595

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

Simplify Square Root of 41521
Here is the next square root on our list that we have simplifed for you.