Simplify Square Root of 5833

What is the square root of 5833 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.

√5833 = A√B

Unfortunately, the square root of 5833 cannot be simplified. Thus, here is the answer to the square root of 5833 in its simplest form:

√ 5833 = √ 5833

Here are two different methods we used to determine why the square root of 5833 cannot be simplified.

1) To be able to simplify the square root of 5833, one of the factors of 5833 other than 1 must be a perfect square. The factors of 5833 are 1, 19, 307, and 5833. Since none of these factors are perfect squares, the square root of 5833 cannot be simplified.

2) To be able to simplify the square root of 5833, all the prime factors of 5833 cannot be unique. When we did prime factorization of 5833, we found that 19 x 307 equals 5833. Since all the prime factors are unique, the square root of 5833 cannot be simplified.

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