Simplify Square Root of 64198

What is the square root of 64198 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.

√64198 = A√B

Unfortunately, the square root of 64198 cannot be simplified. Thus, here is the answer to the square root of 64198 in its simplest form:

√ 64198 = √ 64198

Here are two different methods we used to determine why the square root of 64198 cannot be simplified.

1) To be able to simplify the square root of 64198, one of the factors of 64198 other than 1 must be a perfect square. The factors of 64198 are 1, 2, 32099, and 64198. Since none of these factors are perfect squares, the square root of 64198 cannot be simplified.

2) To be able to simplify the square root of 64198, all the prime factors of 64198 cannot be unique. When we did prime factorization of 64198, we found that 2 x 32099 equals 64198. Since all the prime factors are unique, the square root of 64198 cannot be simplified.

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