Simplify Square Root of 3921

What is the square root of 3921 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.

√3921 = A√B

Unfortunately, the square root of 3921 cannot be simplified. Thus, here is the answer to the square root of 3921 in its simplest form:

√ 3921 = √ 3921

Here are two different methods we used to determine why the square root of 3921 cannot be simplified.

1) To be able to simplify the square root of 3921, one of the factors of 3921 other than 1 must be a perfect square. The factors of 3921 are 1, 3, 1307, and 3921. Since none of these factors are perfect squares, the square root of 3921 cannot be simplified.

2) To be able to simplify the square root of 3921, all the prime factors of 3921 cannot be unique. When we did prime factorization of 3921, we found that 3 x 1307 equals 3921. Since all the prime factors are unique, the square root of 3921 cannot be simplified.

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