Simplify Square Root of 26764

Here we will show you two methods that you can use to simplify the square root of 26764. In other words, we will show you how to find the square root of 26764 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.

√26764 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 26764 to simplify the square root of 26764. 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 26764. The factors of 26764 are 1, 2, 4, 6691, 13382, and 26764. Furthermore, the greatest perfect square on this list is 4 and the square root of 4 is 2. Therefore, A equals 2.

B = Calculate 26764 divided by the greatest perfect square from the list of all factors of 26764. We determined above that the greatest perfect square from the list of all factors of 26764 is 4. Furthermore, 26764 divided by 4 is 6691, therefore B equals 6691.

Now we have A and B and can get our answer to 26764 in its simplest radical form as follows:

√26764 = A√B

√26764 = 2√6691

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 26764 to simplify the square root of 26764 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 26764 and then take the square root of that product. The prime factors that multiply together to make 26764 are 2 x 2 x 6691. When we strip out the pairs only, we get 2 x 2 = 4 and the square root of 4 is 2. Therefore, A equals 2.

B = Divide 26764 by the number (A) squared. 2 squared is 4 and 26764 divided by 4 is 6691. Therefore, B equals 6691.

Once again we have A and B and can get our answer to 26764 in its simplest radical form as follows:

√26764 = A√B

√26764 = 2√6691

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Simplify Square Root of 26765
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