What is the square root of 13 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.

√13 = A√B

Unfortunately, the square root of 13 cannot be simplified. Thus, here is the answer to the square root of 13 in its simplest form:

**√ 13 = √ 13**

Here are two different methods we used to determine why the square root of 13 cannot be simplified.

1) To be able to simplify the square root of 13, one of the factors of 13 other than 1 must be a perfect square. The factors of 13 are 1 and 13. Since none of these factors are perfect squares, the square root of 13 cannot be simplified.

2) To be able to simplify the square root of 13, all the prime factors of 13 cannot be unique. When we did prime factorization of 13, we found that 13 equals 13. Since all the prime factors are unique, the square root of 13 cannot be simplified.

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