Simplify Square Root of 96870

What is the square root of 96870 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.

√96870 = A√B

Unfortunately, the square root of 96870 cannot be simplified. Thus, here is the answer to the square root of 96870 in its simplest form:

√ 96870 = √ 96870

Here are two different methods we used to determine why the square root of 96870 cannot be simplified.

1) To be able to simplify the square root of 96870, one of the factors of 96870 other than 1 must be a perfect square. The factors of 96870 are 1, 2, 3, 5, 6, 10, 15, 30, 3229, 6458, 9687, 16145, 19374, 32290, 48435, and 96870. Since none of these factors are perfect squares, the square root of 96870 cannot be simplified.

2) To be able to simplify the square root of 96870, all the prime factors of 96870 cannot be unique. When we did prime factorization of 96870, we found that 2 x 3 x 5 x 3229 equals 96870. Since all the prime factors are unique, the square root of 96870 cannot be simplified.

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