Simplify Square Root of 40237

What is the square root of 40237 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.

√40237 = A√B

Unfortunately, the square root of 40237 cannot be simplified. Thus, here is the answer to the square root of 40237 in its simplest form:

√ 40237 = √ 40237

Here are two different methods we used to determine why the square root of 40237 cannot be simplified.

1) To be able to simplify the square root of 40237, one of the factors of 40237 other than 1 must be a perfect square. The factors of 40237 are 1 and 40237. Since none of these factors are perfect squares, the square root of 40237 cannot be simplified.

2) To be able to simplify the square root of 40237, all the prime factors of 40237 cannot be unique. When we did prime factorization of 40237, we found that 40237 equals 40237. Since all the prime factors are unique, the square root of 40237 cannot be simplified.

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