Simplify Square Root of 17265

What is the square root of 17265 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.

√17265 = A√B

Unfortunately, the square root of 17265 cannot be simplified. Thus, here is the answer to the square root of 17265 in its simplest form:

√ 17265 = √ 17265

Here are two different methods we used to determine why the square root of 17265 cannot be simplified.

1) To be able to simplify the square root of 17265, one of the factors of 17265 other than 1 must be a perfect square. The factors of 17265 are 1, 3, 5, 15, 1151, 3453, 5755, and 17265. Since none of these factors are perfect squares, the square root of 17265 cannot be simplified.

2) To be able to simplify the square root of 17265, all the prime factors of 17265 cannot be unique. When we did prime factorization of 17265, we found that 3 x 5 x 1151 equals 17265. Since all the prime factors are unique, the square root of 17265 cannot be simplified.

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