Simplify Square Root of 14843

What is the square root of 14843 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.

√14843 = A√B

Unfortunately, the square root of 14843 cannot be simplified. Thus, here is the answer to the square root of 14843 in its simplest form:

√ 14843 = √ 14843

Here are two different methods we used to determine why the square root of 14843 cannot be simplified.

1) To be able to simplify the square root of 14843, one of the factors of 14843 other than 1 must be a perfect square. The factors of 14843 are 1 and 14843. Since none of these factors are perfect squares, the square root of 14843 cannot be simplified.

2) To be able to simplify the square root of 14843, all the prime factors of 14843 cannot be unique. When we did prime factorization of 14843, we found that 14843 equals 14843. Since all the prime factors are unique, the square root of 14843 cannot be simplified.

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