Simplify Square Root of 25591

What is the square root of 25591 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.

√25591 = A√B

Unfortunately, the square root of 25591 cannot be simplified. Thus, here is the answer to the square root of 25591 in its simplest form:

√ 25591 = √ 25591

Here are two different methods we used to determine why the square root of 25591 cannot be simplified.

1) To be able to simplify the square root of 25591, one of the factors of 25591 other than 1 must be a perfect square. The factors of 25591 are 1, 157, 163, and 25591. Since none of these factors are perfect squares, the square root of 25591 cannot be simplified.

2) To be able to simplify the square root of 25591, all the prime factors of 25591 cannot be unique. When we did prime factorization of 25591, we found that 157 x 163 equals 25591. Since all the prime factors are unique, the square root of 25591 cannot be simplified.

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