Simplify Square Root of 96446

Here we will show you two methods that you can use to simplify the square root of 96446. In other words, we will show you how to find the square root of 96446 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.

√96446 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 96446 to simplify the square root of 96446. 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 96446. The factors of 96446 are 1, 2, 7, 14, 83, 166, 581, 1162, 6889, 13778, 48223, and 96446. Furthermore, the greatest perfect square on this list is 6889 and the square root of 6889 is 83. Therefore, A equals 83.

B = Calculate 96446 divided by the greatest perfect square from the list of all factors of 96446. We determined above that the greatest perfect square from the list of all factors of 96446 is 6889. Furthermore, 96446 divided by 6889 is 14, therefore B equals 14.

Now we have A and B and can get our answer to 96446 in its simplest radical form as follows:

√96446 = A√B

√96446 = 83√14

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 96446 to simplify the square root of 96446 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 96446 and then take the square root of that product. The prime factors that multiply together to make 96446 are 2 x 7 x 83 x 83. When we strip out the pairs only, we get 83 x 83 = 6889 and the square root of 6889 is 83. Therefore, A equals 83.

B = Divide 96446 by the number (A) squared. 83 squared is 6889 and 96446 divided by 6889 is 14. Therefore, B equals 14.

Once again we have A and B and can get our answer to 96446 in its simplest radical form as follows:

√96446 = A√B

√96446 = 83√14

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

Simplify Square Root of 96447
Here is the next square root on our list that we have simplifed for you.