Simplify Square Root of 79937

Here we will show you two methods that you can use to simplify the square root of 79937. In other words, we will show you how to find the square root of 79937 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.

√79937 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 79937 to simplify the square root of 79937. 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 79937. The factors of 79937 are 1, 11, 13, 43, 143, 169, 473, 559, 1859, 6149, 7267, and 79937. Furthermore, the greatest perfect square on this list is 169 and the square root of 169 is 13. Therefore, A equals 13.

B = Calculate 79937 divided by the greatest perfect square from the list of all factors of 79937. We determined above that the greatest perfect square from the list of all factors of 79937 is 169. Furthermore, 79937 divided by 169 is 473, therefore B equals 473.

Now we have A and B and can get our answer to 79937 in its simplest radical form as follows:

√79937 = A√B

√79937 = 13√473

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 79937 to simplify the square root of 79937 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 79937 and then take the square root of that product. The prime factors that multiply together to make 79937 are 11 x 13 x 13 x 43. When we strip out the pairs only, we get 13 x 13 = 169 and the square root of 169 is 13. Therefore, A equals 13.

B = Divide 79937 by the number (A) squared. 13 squared is 169 and 79937 divided by 169 is 473. Therefore, B equals 473.

Once again we have A and B and can get our answer to 79937 in its simplest radical form as follows:

√79937 = A√B

√79937 = 13√473

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Simplify Square Root of 79938
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