Simplify Square Root of 50637

What is the square root of 50637 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.

√50637 = A√B

Unfortunately, the square root of 50637 cannot be simplified. Thus, here is the answer to the square root of 50637 in its simplest form:

√ 50637 = √ 50637

Here are two different methods we used to determine why the square root of 50637 cannot be simplified.

1) To be able to simplify the square root of 50637, one of the factors of 50637 other than 1 must be a perfect square. The factors of 50637 are 1, 3, 16879, and 50637. Since none of these factors are perfect squares, the square root of 50637 cannot be simplified.

2) To be able to simplify the square root of 50637, all the prime factors of 50637 cannot be unique. When we did prime factorization of 50637, we found that 3 x 16879 equals 50637. Since all the prime factors are unique, the square root of 50637 cannot be simplified.

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