Simplify Square Root of 50271

What is the square root of 50271 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.

√50271 = A√B

Unfortunately, the square root of 50271 cannot be simplified. Thus, here is the answer to the square root of 50271 in its simplest form:

√ 50271 = √ 50271

Here are two different methods we used to determine why the square root of 50271 cannot be simplified.

1) To be able to simplify the square root of 50271, one of the factors of 50271 other than 1 must be a perfect square. The factors of 50271 are 1, 3, 13, 39, 1289, 3867, 16757, and 50271. Since none of these factors are perfect squares, the square root of 50271 cannot be simplified.

2) To be able to simplify the square root of 50271, all the prime factors of 50271 cannot be unique. When we did prime factorization of 50271, we found that 3 x 13 x 1289 equals 50271. Since all the prime factors are unique, the square root of 50271 cannot be simplified.

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