Simplify Square Root of 98598

What is the square root of 98598 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.

√98598 = A√B

Unfortunately, the square root of 98598 cannot be simplified. Thus, here is the answer to the square root of 98598 in its simplest form:

√ 98598 = √ 98598

Here are two different methods we used to determine why the square root of 98598 cannot be simplified.

1) To be able to simplify the square root of 98598, one of the factors of 98598 other than 1 must be a perfect square. The factors of 98598 are 1, 2, 3, 6, 16433, 32866, 49299, and 98598. Since none of these factors are perfect squares, the square root of 98598 cannot be simplified.

2) To be able to simplify the square root of 98598, all the prime factors of 98598 cannot be unique. When we did prime factorization of 98598, we found that 2 x 3 x 16433 equals 98598. Since all the prime factors are unique, the square root of 98598 cannot be simplified.

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