Simplify Square Root of 21043

What is the square root of 21043 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.

√21043 = A√B

Unfortunately, the square root of 21043 cannot be simplified. Thus, here is the answer to the square root of 21043 in its simplest form:

√ 21043 = √ 21043

Here are two different methods we used to determine why the square root of 21043 cannot be simplified.

1) To be able to simplify the square root of 21043, one of the factors of 21043 other than 1 must be a perfect square. The factors of 21043 are 1, 11, 1913, and 21043. Since none of these factors are perfect squares, the square root of 21043 cannot be simplified.

2) To be able to simplify the square root of 21043, all the prime factors of 21043 cannot be unique. When we did prime factorization of 21043, we found that 11 x 1913 equals 21043. Since all the prime factors are unique, the square root of 21043 cannot be simplified.

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