Simplify Square Root of 12851

What is the square root of 12851 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.

√12851 = A√B

Unfortunately, the square root of 12851 cannot be simplified. Thus, here is the answer to the square root of 12851 in its simplest form:

√ 12851 = √ 12851

Here are two different methods we used to determine why the square root of 12851 cannot be simplified.

1) To be able to simplify the square root of 12851, one of the factors of 12851 other than 1 must be a perfect square. The factors of 12851 are 1, 71, 181, and 12851. Since none of these factors are perfect squares, the square root of 12851 cannot be simplified.

2) To be able to simplify the square root of 12851, all the prime factors of 12851 cannot be unique. When we did prime factorization of 12851, we found that 71 x 181 equals 12851. Since all the prime factors are unique, the square root of 12851 cannot be simplified.

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