Simplify Square Root of 2823

What is the square root of 2823 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.

√2823 = A√B

Unfortunately, the square root of 2823 cannot be simplified. Thus, here is the answer to the square root of 2823 in its simplest form:

√ 2823 = √ 2823

Here are two different methods we used to determine why the square root of 2823 cannot be simplified.

1) To be able to simplify the square root of 2823, one of the factors of 2823 other than 1 must be a perfect square. The factors of 2823 are 1, 3, 941, and 2823. Since none of these factors are perfect squares, the square root of 2823 cannot be simplified.

2) To be able to simplify the square root of 2823, all the prime factors of 2823 cannot be unique. When we did prime factorization of 2823, we found that 3 x 941 equals 2823. Since all the prime factors are unique, the square root of 2823 cannot be simplified.

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