Simplify Square Root of 96573

What is the square root of 96573 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.

√96573 = A√B

Unfortunately, the square root of 96573 cannot be simplified. Thus, here is the answer to the square root of 96573 in its simplest form:

√ 96573 = √ 96573

Here are two different methods we used to determine why the square root of 96573 cannot be simplified.

1) To be able to simplify the square root of 96573, one of the factors of 96573 other than 1 must be a perfect square. The factors of 96573 are 1, 3, 32191, and 96573. Since none of these factors are perfect squares, the square root of 96573 cannot be simplified.

2) To be able to simplify the square root of 96573, all the prime factors of 96573 cannot be unique. When we did prime factorization of 96573, we found that 3 x 32191 equals 96573. Since all the prime factors are unique, the square root of 96573 cannot be simplified.

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