Simplify Square Root of 50965

What is the square root of 50965 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.

√50965 = A√B

Unfortunately, the square root of 50965 cannot be simplified. Thus, here is the answer to the square root of 50965 in its simplest form:

√ 50965 = √ 50965

Here are two different methods we used to determine why the square root of 50965 cannot be simplified.

1) To be able to simplify the square root of 50965, one of the factors of 50965 other than 1 must be a perfect square. The factors of 50965 are 1, 5, 10193, and 50965. Since none of these factors are perfect squares, the square root of 50965 cannot be simplified.

2) To be able to simplify the square root of 50965, all the prime factors of 50965 cannot be unique. When we did prime factorization of 50965, we found that 5 x 10193 equals 50965. Since all the prime factors are unique, the square root of 50965 cannot be simplified.

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