Simplify Square Root of 29716

Here we will show you two methods that you can use to simplify the square root of 29716. In other words, we will show you how to find the square root of 29716 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.

√29716 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 29716 to simplify the square root of 29716. 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 29716. The factors of 29716 are 1, 2, 4, 17, 19, 23, 34, 38, 46, 68, 76, 92, 323, 391, 437, 646, 782, 874, 1292, 1564, 1748, 7429, 14858, and 29716. Furthermore, the greatest perfect square on this list is 4 and the square root of 4 is 2. Therefore, A equals 2.

B = Calculate 29716 divided by the greatest perfect square from the list of all factors of 29716. We determined above that the greatest perfect square from the list of all factors of 29716 is 4. Furthermore, 29716 divided by 4 is 7429, therefore B equals 7429.

Now we have A and B and can get our answer to 29716 in its simplest radical form as follows:

√29716 = A√B

√29716 = 2√7429

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 29716 to simplify the square root of 29716 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 29716 and then take the square root of that product. The prime factors that multiply together to make 29716 are 2 x 2 x 17 x 19 x 23. When we strip out the pairs only, we get 2 x 2 = 4 and the square root of 4 is 2. Therefore, A equals 2.

B = Divide 29716 by the number (A) squared. 2 squared is 4 and 29716 divided by 4 is 7429. Therefore, B equals 7429.

Once again we have A and B and can get our answer to 29716 in its simplest radical form as follows:

√29716 = A√B

√29716 = 2√7429

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

Simplify Square Root of 29717
Here is the next square root on our list that we have simplifed for you.