Simplify Square Root of 48847




What is the square root of 48847 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.

48847 = A√B

Unfortunately, the square root of 48847 cannot be simplified. Thus, here is the answer to the square root of 48847 in its simplest form:

48847 = √ 48847


Here are two different methods we used to determine why the square root of 48847 cannot be simplified.

1) To be able to simplify the square root of 48847, one of the factors of 48847 other than 1 must be a perfect square. The factors of 48847 are 1 and 48847. Since none of these factors are perfect squares, the square root of 48847 cannot be simplified.

2) To be able to simplify the square root of 48847, all the prime factors of 48847 cannot be unique. When we did prime factorization of 48847, we found that 48847 equals 48847. Since all the prime factors are unique, the square root of 48847 cannot be simplified.



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