Simplify Square Root of 76997

What is the square root of 76997 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.

√76997 = A√B

Unfortunately, the square root of 76997 cannot be simplified. Thus, here is the answer to the square root of 76997 in its simplest form:

√ 76997 = √ 76997

Here are two different methods we used to determine why the square root of 76997 cannot be simplified.

1) To be able to simplify the square root of 76997, one of the factors of 76997 other than 1 must be a perfect square. The factors of 76997 are 1, 37, 2081, and 76997. Since none of these factors are perfect squares, the square root of 76997 cannot be simplified.

2) To be able to simplify the square root of 76997, all the prime factors of 76997 cannot be unique. When we did prime factorization of 76997, we found that 37 x 2081 equals 76997. Since all the prime factors are unique, the square root of 76997 cannot be simplified.

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