Simplify Square Root of 79921

What is the square root of 79921 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.

√79921 = A√B

Unfortunately, the square root of 79921 cannot be simplified. Thus, here is the answer to the square root of 79921 in its simplest form:

√ 79921 = √ 79921

Here are two different methods we used to determine why the square root of 79921 cannot be simplified.

1) To be able to simplify the square root of 79921, one of the factors of 79921 other than 1 must be a perfect square. The factors of 79921 are 1, 229, 349, and 79921. Since none of these factors are perfect squares, the square root of 79921 cannot be simplified.

2) To be able to simplify the square root of 79921, all the prime factors of 79921 cannot be unique. When we did prime factorization of 79921, we found that 229 x 349 equals 79921. Since all the prime factors are unique, the square root of 79921 cannot be simplified.

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