Simplify Square Root of 5587

What is the square root of 5587 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.

√5587 = A√B

Unfortunately, the square root of 5587 cannot be simplified. Thus, here is the answer to the square root of 5587 in its simplest form:

√ 5587 = √ 5587

Here are two different methods we used to determine why the square root of 5587 cannot be simplified.

1) To be able to simplify the square root of 5587, one of the factors of 5587 other than 1 must be a perfect square. The factors of 5587 are 1, 37, 151, and 5587. Since none of these factors are perfect squares, the square root of 5587 cannot be simplified.

2) To be able to simplify the square root of 5587, all the prime factors of 5587 cannot be unique. When we did prime factorization of 5587, we found that 37 x 151 equals 5587. Since all the prime factors are unique, the square root of 5587 cannot be simplified.

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