Simplify Square Root of 57089

What is the square root of 57089 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.

√57089 = A√B

Unfortunately, the square root of 57089 cannot be simplified. Thus, here is the answer to the square root of 57089 in its simplest form:

√ 57089 = √ 57089

Here are two different methods we used to determine why the square root of 57089 cannot be simplified.

1) To be able to simplify the square root of 57089, one of the factors of 57089 other than 1 must be a perfect square. The factors of 57089 are 1 and 57089. Since none of these factors are perfect squares, the square root of 57089 cannot be simplified.

2) To be able to simplify the square root of 57089, all the prime factors of 57089 cannot be unique. When we did prime factorization of 57089, we found that 57089 equals 57089. Since all the prime factors are unique, the square root of 57089 cannot be simplified.

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