Simplify Square Root of 26231

What is the square root of 26231 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.

√26231 = A√B

Unfortunately, the square root of 26231 cannot be simplified. Thus, here is the answer to the square root of 26231 in its simplest form:

√ 26231 = √ 26231

Here are two different methods we used to determine why the square root of 26231 cannot be simplified.

1) To be able to simplify the square root of 26231, one of the factors of 26231 other than 1 must be a perfect square. The factors of 26231 are 1, 17, 1543, and 26231. Since none of these factors are perfect squares, the square root of 26231 cannot be simplified.

2) To be able to simplify the square root of 26231, all the prime factors of 26231 cannot be unique. When we did prime factorization of 26231, we found that 17 x 1543 equals 26231. Since all the prime factors are unique, the square root of 26231 cannot be simplified.

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