Simplify Square Root of 47599

What is the square root of 47599 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.

√47599 = A√B

Unfortunately, the square root of 47599 cannot be simplified. Thus, here is the answer to the square root of 47599 in its simplest form:

√ 47599 = √ 47599

Here are two different methods we used to determine why the square root of 47599 cannot be simplified.

1) To be able to simplify the square root of 47599, one of the factors of 47599 other than 1 must be a perfect square. The factors of 47599 are 1 and 47599. Since none of these factors are perfect squares, the square root of 47599 cannot be simplified.

2) To be able to simplify the square root of 47599, all the prime factors of 47599 cannot be unique. When we did prime factorization of 47599, we found that 47599 equals 47599. Since all the prime factors are unique, the square root of 47599 cannot be simplified.

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