Simplify Square Root of 79631

What is the square root of 79631 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.

√79631 = A√B

Unfortunately, the square root of 79631 cannot be simplified. Thus, here is the answer to the square root of 79631 in its simplest form:

√ 79631 = √ 79631

Here are two different methods we used to determine why the square root of 79631 cannot be simplified.

1) To be able to simplify the square root of 79631, one of the factors of 79631 other than 1 must be a perfect square. The factors of 79631 are 1 and 79631. Since none of these factors are perfect squares, the square root of 79631 cannot be simplified.

2) To be able to simplify the square root of 79631, all the prime factors of 79631 cannot be unique. When we did prime factorization of 79631, we found that 79631 equals 79631. Since all the prime factors are unique, the square root of 79631 cannot be simplified.

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