Simplify Square Root of 7087

What is the square root of 7087 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.

√7087 = A√B

Unfortunately, the square root of 7087 cannot be simplified. Thus, here is the answer to the square root of 7087 in its simplest form:

√ 7087 = √ 7087

Here are two different methods we used to determine why the square root of 7087 cannot be simplified.

1) To be able to simplify the square root of 7087, one of the factors of 7087 other than 1 must be a perfect square. The factors of 7087 are 1, 19, 373, and 7087. Since none of these factors are perfect squares, the square root of 7087 cannot be simplified.

2) To be able to simplify the square root of 7087, all the prime factors of 7087 cannot be unique. When we did prime factorization of 7087, we found that 19 x 373 equals 7087. Since all the prime factors are unique, the square root of 7087 cannot be simplified.

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