Simplify Square Root of 87817

What is the square root of 87817 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.

√87817 = A√B

Unfortunately, the square root of 87817 cannot be simplified. Thus, here is the answer to the square root of 87817 in its simplest form:

√ 87817 = √ 87817

Here are two different methods we used to determine why the square root of 87817 cannot be simplified.

1) To be able to simplify the square root of 87817, one of the factors of 87817 other than 1 must be a perfect square. The factors of 87817 are 1, 137, 641, and 87817. Since none of these factors are perfect squares, the square root of 87817 cannot be simplified.

2) To be able to simplify the square root of 87817, all the prime factors of 87817 cannot be unique. When we did prime factorization of 87817, we found that 137 x 641 equals 87817. Since all the prime factors are unique, the square root of 87817 cannot be simplified.

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