Simplify Square Root of 27197

What is the square root of 27197 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.

√27197 = A√B

Unfortunately, the square root of 27197 cannot be simplified. Thus, here is the answer to the square root of 27197 in its simplest form:

√ 27197 = √ 27197

Here are two different methods we used to determine why the square root of 27197 cannot be simplified.

1) To be able to simplify the square root of 27197, one of the factors of 27197 other than 1 must be a perfect square. The factors of 27197 are 1 and 27197. Since none of these factors are perfect squares, the square root of 27197 cannot be simplified.

2) To be able to simplify the square root of 27197, all the prime factors of 27197 cannot be unique. When we did prime factorization of 27197, we found that 27197 equals 27197. Since all the prime factors are unique, the square root of 27197 cannot be simplified.

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