Simplify Square Root of 2895

What is the square root of 2895 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.

√2895 = A√B

Unfortunately, the square root of 2895 cannot be simplified. Thus, here is the answer to the square root of 2895 in its simplest form:

√ 2895 = √ 2895

Here are two different methods we used to determine why the square root of 2895 cannot be simplified.

1) To be able to simplify the square root of 2895, one of the factors of 2895 other than 1 must be a perfect square. The factors of 2895 are 1, 3, 5, 15, 193, 579, 965, and 2895. Since none of these factors are perfect squares, the square root of 2895 cannot be simplified.

2) To be able to simplify the square root of 2895, all the prime factors of 2895 cannot be unique. When we did prime factorization of 2895, we found that 3 x 5 x 193 equals 2895. Since all the prime factors are unique, the square root of 2895 cannot be simplified.

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