Simplify Square Root of 17057

What is the square root of 17057 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.

√17057 = A√B

Unfortunately, the square root of 17057 cannot be simplified. Thus, here is the answer to the square root of 17057 in its simplest form:

√ 17057 = √ 17057

Here are two different methods we used to determine why the square root of 17057 cannot be simplified.

1) To be able to simplify the square root of 17057, one of the factors of 17057 other than 1 must be a perfect square. The factors of 17057 are 1, 37, 461, and 17057. Since none of these factors are perfect squares, the square root of 17057 cannot be simplified.

2) To be able to simplify the square root of 17057, all the prime factors of 17057 cannot be unique. When we did prime factorization of 17057, we found that 37 x 461 equals 17057. Since all the prime factors are unique, the square root of 17057 cannot be simplified.

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