Simplify Square Root of 11851

What is the square root of 11851 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.

√11851 = A√B

Unfortunately, the square root of 11851 cannot be simplified. Thus, here is the answer to the square root of 11851 in its simplest form:

√ 11851 = √ 11851

Here are two different methods we used to determine why the square root of 11851 cannot be simplified.

1) To be able to simplify the square root of 11851, one of the factors of 11851 other than 1 must be a perfect square. The factors of 11851 are 1, 7, 1693, and 11851. Since none of these factors are perfect squares, the square root of 11851 cannot be simplified.

2) To be able to simplify the square root of 11851, all the prime factors of 11851 cannot be unique. When we did prime factorization of 11851, we found that 7 x 1693 equals 11851. Since all the prime factors are unique, the square root of 11851 cannot be simplified.

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