Simplify Square Root of 99815

What is the square root of 99815 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.

√99815 = A√B

Unfortunately, the square root of 99815 cannot be simplified. Thus, here is the answer to the square root of 99815 in its simplest form:

√ 99815 = √ 99815

Here are two different methods we used to determine why the square root of 99815 cannot be simplified.

1) To be able to simplify the square root of 99815, one of the factors of 99815 other than 1 must be a perfect square. The factors of 99815 are 1, 5, 19963, and 99815. Since none of these factors are perfect squares, the square root of 99815 cannot be simplified.

2) To be able to simplify the square root of 99815, all the prime factors of 99815 cannot be unique. When we did prime factorization of 99815, we found that 5 x 19963 equals 99815. Since all the prime factors are unique, the square root of 99815 cannot be simplified.

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