Simplify Square Root of 24988

Here we will show you two methods that you can use to simplify the square root of 24988. In other words, we will show you how to find the square root of 24988 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.

√24988 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 24988 to simplify the square root of 24988. 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 24988. The factors of 24988 are 1, 2, 4, 6247, 12494, and 24988. Furthermore, the greatest perfect square on this list is 4 and the square root of 4 is 2. Therefore, A equals 2.

B = Calculate 24988 divided by the greatest perfect square from the list of all factors of 24988. We determined above that the greatest perfect square from the list of all factors of 24988 is 4. Furthermore, 24988 divided by 4 is 6247, therefore B equals 6247.

Now we have A and B and can get our answer to 24988 in its simplest radical form as follows:

√24988 = A√B

√24988 = 2√6247

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 24988 to simplify the square root of 24988 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 24988 and then take the square root of that product. The prime factors that multiply together to make 24988 are 2 x 2 x 6247. 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 24988 by the number (A) squared. 2 squared is 4 and 24988 divided by 4 is 6247. Therefore, B equals 6247.

Once again we have A and B and can get our answer to 24988 in its simplest radical form as follows:

√24988 = A√B

√24988 = 2√6247

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Simplify Square Root of 24989
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