Simplify Square Root of 54937

What is the square root of 54937 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.

√54937 = A√B

Unfortunately, the square root of 54937 cannot be simplified. Thus, here is the answer to the square root of 54937 in its simplest form:

√ 54937 = √ 54937

Here are two different methods we used to determine why the square root of 54937 cannot be simplified.

1) To be able to simplify the square root of 54937, one of the factors of 54937 other than 1 must be a perfect square. The factors of 54937 are 1, 137, 401, and 54937. Since none of these factors are perfect squares, the square root of 54937 cannot be simplified.

2) To be able to simplify the square root of 54937, all the prime factors of 54937 cannot be unique. When we did prime factorization of 54937, we found that 137 x 401 equals 54937. Since all the prime factors are unique, the square root of 54937 cannot be simplified.

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