Simplify Square Root of 14149

What is the square root of 14149 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.

√14149 = A√B

Unfortunately, the square root of 14149 cannot be simplified. Thus, here is the answer to the square root of 14149 in its simplest form:

√ 14149 = √ 14149

Here are two different methods we used to determine why the square root of 14149 cannot be simplified.

1) To be able to simplify the square root of 14149, one of the factors of 14149 other than 1 must be a perfect square. The factors of 14149 are 1 and 14149. Since none of these factors are perfect squares, the square root of 14149 cannot be simplified.

2) To be able to simplify the square root of 14149, all the prime factors of 14149 cannot be unique. When we did prime factorization of 14149, we found that 14149 equals 14149. Since all the prime factors are unique, the square root of 14149 cannot be simplified.

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