Simplify Square Root of 56965

What is the square root of 56965 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.

√56965 = A√B

Unfortunately, the square root of 56965 cannot be simplified. Thus, here is the answer to the square root of 56965 in its simplest form:

√ 56965 = √ 56965

Here are two different methods we used to determine why the square root of 56965 cannot be simplified.

1) To be able to simplify the square root of 56965, one of the factors of 56965 other than 1 must be a perfect square. The factors of 56965 are 1, 5, 11393, and 56965. Since none of these factors are perfect squares, the square root of 56965 cannot be simplified.

2) To be able to simplify the square root of 56965, all the prime factors of 56965 cannot be unique. When we did prime factorization of 56965, we found that 5 x 11393 equals 56965. Since all the prime factors are unique, the square root of 56965 cannot be simplified.

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