Simplify Square Root of 42941

What is the square root of 42941 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.

√42941 = A√B

Unfortunately, the square root of 42941 cannot be simplified. Thus, here is the answer to the square root of 42941 in its simplest form:

√ 42941 = √ 42941

Here are two different methods we used to determine why the square root of 42941 cannot be simplified.

1) To be able to simplify the square root of 42941, one of the factors of 42941 other than 1 must be a perfect square. The factors of 42941 are 1, 23, 1867, and 42941. Since none of these factors are perfect squares, the square root of 42941 cannot be simplified.

2) To be able to simplify the square root of 42941, all the prime factors of 42941 cannot be unique. When we did prime factorization of 42941, we found that 23 x 1867 equals 42941. Since all the prime factors are unique, the square root of 42941 cannot be simplified.

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