Simplify Square Root of 55425

Here we will show you two methods that you can use to simplify the square root of 55425. In other words, we will show you how to find the square root of 55425 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.

√55425 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 55425 to simplify the square root of 55425. 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 55425. The factors of 55425 are 1, 3, 5, 15, 25, 75, 739, 2217, 3695, 11085, 18475, and 55425. Furthermore, the greatest perfect square on this list is 25 and the square root of 25 is 5. Therefore, A equals 5.

B = Calculate 55425 divided by the greatest perfect square from the list of all factors of 55425. We determined above that the greatest perfect square from the list of all factors of 55425 is 25. Furthermore, 55425 divided by 25 is 2217, therefore B equals 2217.

Now we have A and B and can get our answer to 55425 in its simplest radical form as follows:

√55425 = A√B

√55425 = 5√2217

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 55425 to simplify the square root of 55425 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 55425 and then take the square root of that product. The prime factors that multiply together to make 55425 are 3 x 5 x 5 x 739. 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 55425 by the number (A) squared. 5 squared is 25 and 55425 divided by 25 is 2217. Therefore, B equals 2217.

Once again we have A and B and can get our answer to 55425 in its simplest radical form as follows:

√55425 = A√B

√55425 = 5√2217

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Simplify Square Root of 55426
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