Simplify Square Root of 87097

What is the square root of 87097 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.

√87097 = A√B

Unfortunately, the square root of 87097 cannot be simplified. Thus, here is the answer to the square root of 87097 in its simplest form:

√ 87097 = √ 87097

Here are two different methods we used to determine why the square root of 87097 cannot be simplified.

1) To be able to simplify the square root of 87097, one of the factors of 87097 other than 1 must be a perfect square. The factors of 87097 are 1, 251, 347, and 87097. Since none of these factors are perfect squares, the square root of 87097 cannot be simplified.

2) To be able to simplify the square root of 87097, all the prime factors of 87097 cannot be unique. When we did prime factorization of 87097, we found that 251 x 347 equals 87097. Since all the prime factors are unique, the square root of 87097 cannot be simplified.

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