Simplify Square Root of 94090

Here we will show you two methods that you can use to simplify the square root of 94090. In other words, we will show you how to find the square root of 94090 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.

√94090 = A√B

Greatest Perfect Square Factor Method
The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 94090 to simplify the square root of 94090. 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 94090. The factors of 94090 are 1, 2, 5, 10, 97, 194, 485, 970, 9409, 18818, 47045, and 94090. Furthermore, the greatest perfect square on this list is 9409 and the square root of 9409 is 97. Therefore, A equals 97.

B = Calculate 94090 divided by the greatest perfect square from the list of all factors of 94090. We determined above that the greatest perfect square from the list of all factors of 94090 is 9409. Furthermore, 94090 divided by 9409 is 10, therefore B equals 10.

Now we have A and B and can get our answer to 94090 in its simplest radical form as follows:

√94090 = A√B

√94090 = 97√10

Double Prime Factor Method
The Double Prime Factor Method uses the prime factors of 94090 to simplify the square root of 94090 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 94090 and then take the square root of that product. The prime factors that multiply together to make 94090 are 2 x 5 x 97 x 97. When we strip out the pairs only, we get 97 x 97 = 9409 and the square root of 9409 is 97. Therefore, A equals 97.

B = Divide 94090 by the number (A) squared. 97 squared is 9409 and 94090 divided by 9409 is 10. Therefore, B equals 10.

Once again we have A and B and can get our answer to 94090 in its simplest radical form as follows:

√94090 = A√B

√94090 = 97√10

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

Simplify Square Root of 94091
Here is the next square root on our list that we have simplifed for you.