Simplify Square Root of 88445

Here we will show you two methods that you can use to simplify the square root of 88445. In other words, we will show you how to find the square root of 88445 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.

√88445 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 88445 to simplify the square root of 88445. 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 88445. The factors of 88445 are 1, 5, 7, 19, 35, 49, 95, 133, 245, 361, 665, 931, 1805, 2527, 4655, 12635, 17689, and 88445. Furthermore, the greatest perfect square on this list is 17689 and the square root of 17689 is 133. Therefore, A equals 133.

B = Calculate 88445 divided by the greatest perfect square from the list of all factors of 88445. We determined above that the greatest perfect square from the list of all factors of 88445 is 17689. Furthermore, 88445 divided by 17689 is 5, therefore B equals 5.

Now we have A and B and can get our answer to 88445 in its simplest radical form as follows:

√88445 = A√B

√88445 = 133√5

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 88445 to simplify the square root of 88445 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 88445 and then take the square root of that product. The prime factors that multiply together to make 88445 are 5 x 7 x 7 x 19 x 19. When we strip out the pairs only, we get 7 x 7 x 19 x 19 = 17689 and the square root of 17689 is 133. Therefore, A equals 133.

B = Divide 88445 by the number (A) squared. 133 squared is 17689 and 88445 divided by 17689 is 5. Therefore, B equals 5.

Once again we have A and B and can get our answer to 88445 in its simplest radical form as follows:

√88445 = A√B

√88445 = 133√5

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

Simplify Square Root of 88446
Here is the next square root on our list that we have simplifed for you.