Simplify Square Root of 7987

Here we will show you two methods that you can use to simplify the square root of 7987. In other words, we will show you how to find the square root of 7987 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.

√7987 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 7987 to simplify the square root of 7987. 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 7987. The factors of 7987 are 1, 7, 49, 163, 1141, and 7987. Furthermore, the greatest perfect square on this list is 49 and the square root of 49 is 7. Therefore, A equals 7.

B = Calculate 7987 divided by the greatest perfect square from the list of all factors of 7987. We determined above that the greatest perfect square from the list of all factors of 7987 is 49. Furthermore, 7987 divided by 49 is 163, therefore B equals 163.

Now we have A and B and can get our answer to 7987 in its simplest radical form as follows:

√7987 = A√B

√7987 = 7√163

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 7987 to simplify the square root of 7987 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 7987 and then take the square root of that product. The prime factors that multiply together to make 7987 are 7 x 7 x 163. 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 7987 by the number (A) squared. 7 squared is 49 and 7987 divided by 49 is 163. Therefore, B equals 163.

Once again we have A and B and can get our answer to 7987 in its simplest radical form as follows:

√7987 = A√B

√7987 = 7√163

Simplify Square Root
Please enter another square root in the box below for us to simplify.

Simplify Square Root of 7988
Here is the next square root on our list that we have simplifed for you.