Simplify Square Root of 96315

What is the square root of 96315 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.

√96315 = A√B

Unfortunately, the square root of 96315 cannot be simplified. Thus, here is the answer to the square root of 96315 in its simplest form:

√ 96315 = √ 96315

Here are two different methods we used to determine why the square root of 96315 cannot be simplified.

1) To be able to simplify the square root of 96315, one of the factors of 96315 other than 1 must be a perfect square. The factors of 96315 are 1, 3, 5, 15, 6421, 19263, 32105, and 96315. Since none of these factors are perfect squares, the square root of 96315 cannot be simplified.

2) To be able to simplify the square root of 96315, all the prime factors of 96315 cannot be unique. When we did prime factorization of 96315, we found that 3 x 5 x 6421 equals 96315. Since all the prime factors are unique, the square root of 96315 cannot be simplified.

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