Simplify Square Root of 40487

What is the square root of 40487 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.

√40487 = A√B

Unfortunately, the square root of 40487 cannot be simplified. Thus, here is the answer to the square root of 40487 in its simplest form:

√ 40487 = √ 40487

Here are two different methods we used to determine why the square root of 40487 cannot be simplified.

1) To be able to simplify the square root of 40487, one of the factors of 40487 other than 1 must be a perfect square. The factors of 40487 are 1 and 40487. Since none of these factors are perfect squares, the square root of 40487 cannot be simplified.

2) To be able to simplify the square root of 40487, all the prime factors of 40487 cannot be unique. When we did prime factorization of 40487, we found that 40487 equals 40487. Since all the prime factors are unique, the square root of 40487 cannot be simplified.

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