Simplify Square Root of 62025

Here we will show you two methods that you can use to simplify the square root of 62025. In other words, we will show you how to find the square root of 62025 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.

√62025 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 62025 to simplify the square root of 62025. 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 62025. The factors of 62025 are 1, 3, 5, 15, 25, 75, 827, 2481, 4135, 12405, 20675, and 62025. Furthermore, the greatest perfect square on this list is 25 and the square root of 25 is 5. Therefore, A equals 5.

B = Calculate 62025 divided by the greatest perfect square from the list of all factors of 62025. We determined above that the greatest perfect square from the list of all factors of 62025 is 25. Furthermore, 62025 divided by 25 is 2481, therefore B equals 2481.

Now we have A and B and can get our answer to 62025 in its simplest radical form as follows:

√62025 = A√B

√62025 = 5√2481

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 62025 to simplify the square root of 62025 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 62025 and then take the square root of that product. The prime factors that multiply together to make 62025 are 3 x 5 x 5 x 827. 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 62025 by the number (A) squared. 5 squared is 25 and 62025 divided by 25 is 2481. Therefore, B equals 2481.

Once again we have A and B and can get our answer to 62025 in its simplest radical form as follows:

√62025 = A√B

√62025 = 5√2481

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

Simplify Square Root of 62026
Here is the next square root on our list that we have simplifed for you.