Simplify Square Root of 27098

What is the square root of 27098 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.

√27098 = A√B

Unfortunately, the square root of 27098 cannot be simplified. Thus, here is the answer to the square root of 27098 in its simplest form:

√ 27098 = √ 27098

Here are two different methods we used to determine why the square root of 27098 cannot be simplified.

1) To be able to simplify the square root of 27098, one of the factors of 27098 other than 1 must be a perfect square. The factors of 27098 are 1, 2, 17, 34, 797, 1594, 13549, and 27098. Since none of these factors are perfect squares, the square root of 27098 cannot be simplified.

2) To be able to simplify the square root of 27098, all the prime factors of 27098 cannot be unique. When we did prime factorization of 27098, we found that 2 x 17 x 797 equals 27098. Since all the prime factors are unique, the square root of 27098 cannot be simplified.

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