Simplify Square Root of 19958

What is the square root of 19958 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.

√19958 = A√B

Unfortunately, the square root of 19958 cannot be simplified. Thus, here is the answer to the square root of 19958 in its simplest form:

√ 19958 = √ 19958

Here are two different methods we used to determine why the square root of 19958 cannot be simplified.

1) To be able to simplify the square root of 19958, one of the factors of 19958 other than 1 must be a perfect square. The factors of 19958 are 1, 2, 17, 34, 587, 1174, 9979, and 19958. Since none of these factors are perfect squares, the square root of 19958 cannot be simplified.

2) To be able to simplify the square root of 19958, all the prime factors of 19958 cannot be unique. When we did prime factorization of 19958, we found that 2 x 17 x 587 equals 19958. Since all the prime factors are unique, the square root of 19958 cannot be simplified.

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