Simplify Square Root of 15979

Here we will show you two methods that you can use to simplify the square root of 15979. In other words, we will show you how to find the square root of 15979 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.

√15979 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 15979 to simplify the square root of 15979. 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 15979. The factors of 15979 are 1, 19, 29, 551, 841, and 15979. Furthermore, the greatest perfect square on this list is 841 and the square root of 841 is 29. Therefore, A equals 29.

B = Calculate 15979 divided by the greatest perfect square from the list of all factors of 15979. We determined above that the greatest perfect square from the list of all factors of 15979 is 841. Furthermore, 15979 divided by 841 is 19, therefore B equals 19.

Now we have A and B and can get our answer to 15979 in its simplest radical form as follows:

√15979 = A√B

√15979 = 29√19

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 15979 to simplify the square root of 15979 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 15979 and then take the square root of that product. The prime factors that multiply together to make 15979 are 19 x 29 x 29. When we strip out the pairs only, we get 29 x 29 = 841 and the square root of 841 is 29. Therefore, A equals 29.

B = Divide 15979 by the number (A) squared. 29 squared is 841 and 15979 divided by 841 is 19. Therefore, B equals 19.

Once again we have A and B and can get our answer to 15979 in its simplest radical form as follows:

√15979 = A√B

√15979 = 29√19

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Simplify Square Root of 15980
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