Simplify Square Root of 14815

What is the square root of 14815 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.

√14815 = A√B

Unfortunately, the square root of 14815 cannot be simplified. Thus, here is the answer to the square root of 14815 in its simplest form:

√ 14815 = √ 14815

Here are two different methods we used to determine why the square root of 14815 cannot be simplified.

1) To be able to simplify the square root of 14815, one of the factors of 14815 other than 1 must be a perfect square. The factors of 14815 are 1, 5, 2963, and 14815. Since none of these factors are perfect squares, the square root of 14815 cannot be simplified.

2) To be able to simplify the square root of 14815, all the prime factors of 14815 cannot be unique. When we did prime factorization of 14815, we found that 5 x 2963 equals 14815. Since all the prime factors are unique, the square root of 14815 cannot be simplified.

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