Simplify Square Root of 14983

What is the square root of 14983 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.

√14983 = A√B

Unfortunately, the square root of 14983 cannot be simplified. Thus, here is the answer to the square root of 14983 in its simplest form:

√ 14983 = √ 14983

Here are two different methods we used to determine why the square root of 14983 cannot be simplified.

1) To be able to simplify the square root of 14983, one of the factors of 14983 other than 1 must be a perfect square. The factors of 14983 are 1 and 14983. Since none of these factors are perfect squares, the square root of 14983 cannot be simplified.

2) To be able to simplify the square root of 14983, all the prime factors of 14983 cannot be unique. When we did prime factorization of 14983, we found that 14983 equals 14983. Since all the prime factors are unique, the square root of 14983 cannot be simplified.

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