Simplify Square Root of 25339

What is the square root of 25339 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.

√25339 = A√B

Unfortunately, the square root of 25339 cannot be simplified. Thus, here is the answer to the square root of 25339 in its simplest form:

√ 25339 = √ 25339

Here are two different methods we used to determine why the square root of 25339 cannot be simplified.

1) To be able to simplify the square root of 25339, one of the factors of 25339 other than 1 must be a perfect square. The factors of 25339 are 1 and 25339. Since none of these factors are perfect squares, the square root of 25339 cannot be simplified.

2) To be able to simplify the square root of 25339, all the prime factors of 25339 cannot be unique. When we did prime factorization of 25339, we found that 25339 equals 25339. Since all the prime factors are unique, the square root of 25339 cannot be simplified.

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