Simplify Square Root of 47287




What is the square root of 47287 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.

47287 = A√B

Unfortunately, the square root of 47287 cannot be simplified. Thus, here is the answer to the square root of 47287 in its simplest form:

47287 = √ 47287


Here are two different methods we used to determine why the square root of 47287 cannot be simplified.

1) To be able to simplify the square root of 47287, one of the factors of 47287 other than 1 must be a perfect square. The factors of 47287 are 1 and 47287. Since none of these factors are perfect squares, the square root of 47287 cannot be simplified.

2) To be able to simplify the square root of 47287, all the prime factors of 47287 cannot be unique. When we did prime factorization of 47287, we found that 47287 equals 47287. Since all the prime factors are unique, the square root of 47287 cannot be simplified.



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