Simplify Square Root of 40087

What is the square root of 40087 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.

√40087 = A√B

Unfortunately, the square root of 40087 cannot be simplified. Thus, here is the answer to the square root of 40087 in its simplest form:

√ 40087 = √ 40087

Here are two different methods we used to determine why the square root of 40087 cannot be simplified.

1) To be able to simplify the square root of 40087, one of the factors of 40087 other than 1 must be a perfect square. The factors of 40087 are 1 and 40087. Since none of these factors are perfect squares, the square root of 40087 cannot be simplified.

2) To be able to simplify the square root of 40087, all the prime factors of 40087 cannot be unique. When we did prime factorization of 40087, we found that 40087 equals 40087. Since all the prime factors are unique, the square root of 40087 cannot be simplified.

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