Simplify Square Root of 10550

Here we will show you two methods that you can use to simplify the square root of 10550. In other words, we will show you how to find the square root of 10550 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.

√10550 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 10550 to simplify the square root of 10550. 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 10550. The factors of 10550 are 1, 2, 5, 10, 25, 50, 211, 422, 1055, 2110, 5275, and 10550. Furthermore, the greatest perfect square on this list is 25 and the square root of 25 is 5. Therefore, A equals 5.

B = Calculate 10550 divided by the greatest perfect square from the list of all factors of 10550. We determined above that the greatest perfect square from the list of all factors of 10550 is 25. Furthermore, 10550 divided by 25 is 422, therefore B equals 422.

Now we have A and B and can get our answer to 10550 in its simplest radical form as follows:

√10550 = A√B

√10550 = 5√422

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 10550 to simplify the square root of 10550 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 10550 and then take the square root of that product. The prime factors that multiply together to make 10550 are 2 x 5 x 5 x 211. When we strip out the pairs only, we get 5 x 5 = 25 and the square root of 25 is 5. Therefore, A equals 5.

B = Divide 10550 by the number (A) squared. 5 squared is 25 and 10550 divided by 25 is 422. Therefore, B equals 422.

Once again we have A and B and can get our answer to 10550 in its simplest radical form as follows:

√10550 = A√B

√10550 = 5√422

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

Simplify Square Root of 10551
Here is the next square root on our list that we have simplifed for you.