Simplify Square Root of 2834

What is the square root of 2834 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.

√2834 = A√B

Unfortunately, the square root of 2834 cannot be simplified. Thus, here is the answer to the square root of 2834 in its simplest form:

√ 2834 = √ 2834

Here are two different methods we used to determine why the square root of 2834 cannot be simplified.

1) To be able to simplify the square root of 2834, one of the factors of 2834 other than 1 must be a perfect square. The factors of 2834 are 1, 2, 13, 26, 109, 218, 1417, and 2834. Since none of these factors are perfect squares, the square root of 2834 cannot be simplified.

2) To be able to simplify the square root of 2834, all the prime factors of 2834 cannot be unique. When we did prime factorization of 2834, we found that 2 x 13 x 109 equals 2834. Since all the prime factors are unique, the square root of 2834 cannot be simplified.

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