Simplify Square Root of 13285

What is the square root of 13285 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.

√13285 = A√B

Unfortunately, the square root of 13285 cannot be simplified. Thus, here is the answer to the square root of 13285 in its simplest form:

√ 13285 = √ 13285

Here are two different methods we used to determine why the square root of 13285 cannot be simplified.

1) To be able to simplify the square root of 13285, one of the factors of 13285 other than 1 must be a perfect square. The factors of 13285 are 1, 5, 2657, and 13285. Since none of these factors are perfect squares, the square root of 13285 cannot be simplified.

2) To be able to simplify the square root of 13285, all the prime factors of 13285 cannot be unique. When we did prime factorization of 13285, we found that 5 x 2657 equals 13285. Since all the prime factors are unique, the square root of 13285 cannot be simplified.

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