Simplify Square Root of 55379

What is the square root of 55379 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.

√55379 = A√B

Unfortunately, the square root of 55379 cannot be simplified. Thus, here is the answer to the square root of 55379 in its simplest form:

√ 55379 = √ 55379

Here are two different methods we used to determine why the square root of 55379 cannot be simplified.

1) To be able to simplify the square root of 55379, one of the factors of 55379 other than 1 must be a perfect square. The factors of 55379 are 1, 79, 701, and 55379. Since none of these factors are perfect squares, the square root of 55379 cannot be simplified.

2) To be able to simplify the square root of 55379, all the prime factors of 55379 cannot be unique. When we did prime factorization of 55379, we found that 79 x 701 equals 55379. Since all the prime factors are unique, the square root of 55379 cannot be simplified.

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