Simplify Square Root of 20006

What is the square root of 20006 in its simplest radical form? 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.

√20006 = A√B

Unfortunately, the square root of 20006 cannot be simplified. Thus, here is the answer to the square root of 20006 in its simplest form:

√ 20006 = √ 20006

Here are two different methods we used to determine why the square root of 20006 cannot be simplified.

1) To be able to simplify the square root of 20006, one of the factors of 20006 other than 1 must be a perfect square. The factors of 20006 are 1, 2, 7, 14, 1429, 2858, 10003, and 20006. Since none of these factors are perfect squares, the square root of 20006 cannot be simplified.

2) To be able to simplify the square root of 20006, all the prime factors of 20006 cannot be unique. When we did prime factorization of 20006, we found that 2 x 7 x 1429 equals 20006. Since all the prime factors are unique, the square root of 20006 cannot be simplified.

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

Simplify Square Root of 20007
Here is the next square root on our list that we have simplifed.