Simplify Square Root of 24944

Here we will show you two methods that you can use to simplify the square root of 24944. In other words, we will show you how to find the square root of 24944 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.

√24944 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 24944 to simplify the square root of 24944. 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 24944. The factors of 24944 are 1, 2, 4, 8, 16, 1559, 3118, 6236, 12472, and 24944. Furthermore, the greatest perfect square on this list is 16 and the square root of 16 is 4. Therefore, A equals 4.

B = Calculate 24944 divided by the greatest perfect square from the list of all factors of 24944. We determined above that the greatest perfect square from the list of all factors of 24944 is 16. Furthermore, 24944 divided by 16 is 1559, therefore B equals 1559.

Now we have A and B and can get our answer to 24944 in its simplest radical form as follows:

√24944 = A√B

√24944 = 4√1559

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 24944 to simplify the square root of 24944 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 24944 and then take the square root of that product. The prime factors that multiply together to make 24944 are 2 x 2 x 2 x 2 x 1559. When we strip out the pairs only, we get 2 x 2 x 2 x 2 = 16 and the square root of 16 is 4. Therefore, A equals 4.

B = Divide 24944 by the number (A) squared. 4 squared is 16 and 24944 divided by 16 is 1559. Therefore, B equals 1559.

Once again we have A and B and can get our answer to 24944 in its simplest radical form as follows:

√24944 = A√B

√24944 = 4√1559

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Simplify Square Root of 24945
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