Simplify Square Root of 96405

What is the square root of 96405 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.

√96405 = A√B

Unfortunately, the square root of 96405 cannot be simplified. Thus, here is the answer to the square root of 96405 in its simplest form:

√ 96405 = √ 96405

Here are two different methods we used to determine why the square root of 96405 cannot be simplified.

1) To be able to simplify the square root of 96405, one of the factors of 96405 other than 1 must be a perfect square. The factors of 96405 are 1, 3, 5, 15, 6427, 19281, 32135, and 96405. Since none of these factors are perfect squares, the square root of 96405 cannot be simplified.

2) To be able to simplify the square root of 96405, all the prime factors of 96405 cannot be unique. When we did prime factorization of 96405, we found that 3 x 5 x 6427 equals 96405. Since all the prime factors are unique, the square root of 96405 cannot be simplified.

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