Simplify Square Root of 59791

What is the square root of 59791 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.

√59791 = A√B

Unfortunately, the square root of 59791 cannot be simplified. Thus, here is the answer to the square root of 59791 in its simplest form:

√ 59791 = √ 59791

Here are two different methods we used to determine why the square root of 59791 cannot be simplified.

1) To be able to simplify the square root of 59791, one of the factors of 59791 other than 1 must be a perfect square. The factors of 59791 are 1 and 59791. Since none of these factors are perfect squares, the square root of 59791 cannot be simplified.

2) To be able to simplify the square root of 59791, all the prime factors of 59791 cannot be unique. When we did prime factorization of 59791, we found that 59791 equals 59791. Since all the prime factors are unique, the square root of 59791 cannot be simplified.

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