Simplify Square Root of 44621

What is the square root of 44621 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.

√44621 = A√B

Unfortunately, the square root of 44621 cannot be simplified. Thus, here is the answer to the square root of 44621 in its simplest form:

√ 44621 = √ 44621

Here are two different methods we used to determine why the square root of 44621 cannot be simplified.

1) To be able to simplify the square root of 44621, one of the factors of 44621 other than 1 must be a perfect square. The factors of 44621 are 1 and 44621. Since none of these factors are perfect squares, the square root of 44621 cannot be simplified.

2) To be able to simplify the square root of 44621, all the prime factors of 44621 cannot be unique. When we did prime factorization of 44621, we found that 44621 equals 44621. Since all the prime factors are unique, the square root of 44621 cannot be simplified.

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