Simplify Square Root of 40031

What is the square root of 40031 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.

√40031 = A√B

Unfortunately, the square root of 40031 cannot be simplified. Thus, here is the answer to the square root of 40031 in its simplest form:

√ 40031 = √ 40031

Here are two different methods we used to determine why the square root of 40031 cannot be simplified.

1) To be able to simplify the square root of 40031, one of the factors of 40031 other than 1 must be a perfect square. The factors of 40031 are 1 and 40031. Since none of these factors are perfect squares, the square root of 40031 cannot be simplified.

2) To be able to simplify the square root of 40031, all the prime factors of 40031 cannot be unique. When we did prime factorization of 40031, we found that 40031 equals 40031. Since all the prime factors are unique, the square root of 40031 cannot be simplified.

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