Simplify Square Root of 32425

Here we will show you two methods that you can use to simplify the square root of 32425. In other words, we will show you how to find the square root of 32425 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.

√32425 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 32425 to simplify the square root of 32425. 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 32425. The factors of 32425 are 1, 5, 25, 1297, 6485, and 32425. Furthermore, the greatest perfect square on this list is 25 and the square root of 25 is 5. Therefore, A equals 5.

B = Calculate 32425 divided by the greatest perfect square from the list of all factors of 32425. We determined above that the greatest perfect square from the list of all factors of 32425 is 25. Furthermore, 32425 divided by 25 is 1297, therefore B equals 1297.

Now we have A and B and can get our answer to 32425 in its simplest radical form as follows:

√32425 = A√B

√32425 = 5√1297

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 32425 to simplify the square root of 32425 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 32425 and then take the square root of that product. The prime factors that multiply together to make 32425 are 5 x 5 x 1297. 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 32425 by the number (A) squared. 5 squared is 25 and 32425 divided by 25 is 1297. Therefore, B equals 1297.

Once again we have A and B and can get our answer to 32425 in its simplest radical form as follows:

√32425 = A√B

√32425 = 5√1297

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Simplify Square Root of 32426
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