Simplify Square Root of 79277

What is the square root of 79277 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.

√79277 = A√B

Unfortunately, the square root of 79277 cannot be simplified. Thus, here is the answer to the square root of 79277 in its simplest form:

√ 79277 = √ 79277

Here are two different methods we used to determine why the square root of 79277 cannot be simplified.

1) To be able to simplify the square root of 79277, one of the factors of 79277 other than 1 must be a perfect square. The factors of 79277 are 1, 11, 7207, and 79277. Since none of these factors are perfect squares, the square root of 79277 cannot be simplified.

2) To be able to simplify the square root of 79277, all the prime factors of 79277 cannot be unique. When we did prime factorization of 79277, we found that 11 x 7207 equals 79277. Since all the prime factors are unique, the square root of 79277 cannot be simplified.

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