Simplify Square Root of 10615

What is the square root of 10615 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.

√10615 = A√B

Unfortunately, the square root of 10615 cannot be simplified. Thus, here is the answer to the square root of 10615 in its simplest form:

√ 10615 = √ 10615

Here are two different methods we used to determine why the square root of 10615 cannot be simplified.

1) To be able to simplify the square root of 10615, one of the factors of 10615 other than 1 must be a perfect square. The factors of 10615 are 1, 5, 11, 55, 193, 965, 2123, and 10615. Since none of these factors are perfect squares, the square root of 10615 cannot be simplified.

2) To be able to simplify the square root of 10615, all the prime factors of 10615 cannot be unique. When we did prime factorization of 10615, we found that 5 x 11 x 193 equals 10615. Since all the prime factors are unique, the square root of 10615 cannot be simplified.

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