Simplify Square Root of 6198

What is the square root of 6198 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.

√6198 = A√B

Unfortunately, the square root of 6198 cannot be simplified. Thus, here is the answer to the square root of 6198 in its simplest form:

√ 6198 = √ 6198

Here are two different methods we used to determine why the square root of 6198 cannot be simplified.

1) To be able to simplify the square root of 6198, one of the factors of 6198 other than 1 must be a perfect square. The factors of 6198 are 1, 2, 3, 6, 1033, 2066, 3099, and 6198. Since none of these factors are perfect squares, the square root of 6198 cannot be simplified.

2) To be able to simplify the square root of 6198, all the prime factors of 6198 cannot be unique. When we did prime factorization of 6198, we found that 2 x 3 x 1033 equals 6198. Since all the prime factors are unique, the square root of 6198 cannot be simplified.

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