Simplify Square Root of 26550

Here we will show you two methods that you can use to simplify the square root of 26550. In other words, we will show you how to find the square root of 26550 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.

√26550 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 26550 to simplify the square root of 26550. 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 26550. The factors of 26550 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 59, 75, 90, 118, 150, 177, 225, 295, 354, 450, 531, 590, 885, 1062, 1475, 1770, 2655, 2950, 4425, 5310, 8850, 13275, and 26550. Furthermore, the greatest perfect square on this list is 225 and the square root of 225 is 15. Therefore, A equals 15.

B = Calculate 26550 divided by the greatest perfect square from the list of all factors of 26550. We determined above that the greatest perfect square from the list of all factors of 26550 is 225. Furthermore, 26550 divided by 225 is 118, therefore B equals 118.

Now we have A and B and can get our answer to 26550 in its simplest radical form as follows:

√26550 = A√B

√26550 = 15√118

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 26550 to simplify the square root of 26550 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 26550 and then take the square root of that product. The prime factors that multiply together to make 26550 are 2 x 3 x 3 x 5 x 5 x 59. When we strip out the pairs only, we get 3 x 3 x 5 x 5 = 225 and the square root of 225 is 15. Therefore, A equals 15.

B = Divide 26550 by the number (A) squared. 15 squared is 225 and 26550 divided by 225 is 118. Therefore, B equals 118.

Once again we have A and B and can get our answer to 26550 in its simplest radical form as follows:

√26550 = A√B

√26550 = 15√118

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Simplify Square Root of 26551
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