Simplify Square Root of 98134

What is the square root of 98134 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.

√98134 = A√B

Unfortunately, the square root of 98134 cannot be simplified. Thus, here is the answer to the square root of 98134 in its simplest form:

√ 98134 = √ 98134

Here are two different methods we used to determine why the square root of 98134 cannot be simplified.

1) To be able to simplify the square root of 98134, one of the factors of 98134 other than 1 must be a perfect square. The factors of 98134 are 1, 2, 139, 278, 353, 706, 49067, and 98134. Since none of these factors are perfect squares, the square root of 98134 cannot be simplified.

2) To be able to simplify the square root of 98134, all the prime factors of 98134 cannot be unique. When we did prime factorization of 98134, we found that 2 x 139 x 353 equals 98134. Since all the prime factors are unique, the square root of 98134 cannot be simplified.

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