Simplify Square Root of 79037

Here we will show you two methods that you can use to simplify the square root of 79037. In other words, we will show you how to find the square root of 79037 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.

√79037 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 79037 to simplify the square root of 79037. 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 79037. The factors of 79037 are 1, 7, 49, 1613, 11291, and 79037. Furthermore, the greatest perfect square on this list is 49 and the square root of 49 is 7. Therefore, A equals 7.

B = Calculate 79037 divided by the greatest perfect square from the list of all factors of 79037. We determined above that the greatest perfect square from the list of all factors of 79037 is 49. Furthermore, 79037 divided by 49 is 1613, therefore B equals 1613.

Now we have A and B and can get our answer to 79037 in its simplest radical form as follows:

√79037 = A√B

√79037 = 7√1613

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 79037 to simplify the square root of 79037 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 79037 and then take the square root of that product. The prime factors that multiply together to make 79037 are 7 x 7 x 1613. When we strip out the pairs only, we get 7 x 7 = 49 and the square root of 49 is 7. Therefore, A equals 7.

B = Divide 79037 by the number (A) squared. 7 squared is 49 and 79037 divided by 49 is 1613. Therefore, B equals 1613.

Once again we have A and B and can get our answer to 79037 in its simplest radical form as follows:

√79037 = A√B

√79037 = 7√1613

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